How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and differences of cubes be identified for factoring?

Answers

Answer 1

Answer: I answered most of your question below

Step-by-step explanation:

Well in basic high school math, you prolly will never HAVE to factor square binomials. It becomes more of an issue when you take the limit, and there is a zero in the denominator and blah blah.

But to answer your question. You can pretty much factor any trinomial with the basic rule. Sometimes youll have to complete the square because the trinomial wont be factorable until then. The main use of factoring trinomials tho is to find the value of x. Most trinomials usually equal 0 when youre in high school math. So you factor and make both equations equal 0. Another case where you might need to factor is when you are dividing a trinomial by a binomial. You can factor the numerator and denominator and potentially cross out two terms that divide to equal 1. Overall, its really helpful.

I never really felt the need to actually factor square binomials. Its the thing like a^2 - b^2 = (a + b)(a - b), right? Its basically the same thing with what i said about the dividing stuff. One of those terms might be the exact same as one of the terms from the factored trinomial. Then you can cross out two entire terms

Answer 2

A trinomial is an expression that has three terms.

Square trinomial

A square trinomial is simply a perfect square trinomial, and it is represented as:

[tex]\mathbf{a^2 + 2ab + b^2 = (a + b)^2}[/tex]

Difference of square binomials

This is easily identified because, the terms of the square binomials are perfect squares.

The difference of square binomials is represented as:

[tex]\mathbf{a^2 - b^2 = (a + b)(a - b)}[/tex]

Sums and difference of cubes

When cubes are added or subtracted, they can be expressed using the following

[tex]\mathbf{a^3 + b^3 = (a + b)(a^2 - ab + b^2)}[/tex] --- sum of cubes

[tex]\mathbf{a^3 - b^3 = (a - b)(a^2 + ab + b^2)}[/tex] --- difference of cubes

Read more about binomial and trinomial at:

https://brainly.com/question/12289266


Related Questions

what's the justification for 2x + 0 = 22

Answers

Answer:

Additive inverse property

Step-by-step explanation:

Can you please help me with this question

Answers

Answer:

0=0

1=10

2=15

3=20

Step-by-step explanation:

What I did was I multiplied each number by 5, then added 5.

In football seasons, a team gets 3 points for a win, 1 point for a draw and 0 points for a loss. In a particular season, a team played 34 games and lost 6 games. If the team had a total of 70 points at the end of the season, what is the difference between games won and games lost?

Answers

Answer:

The difference between games won and games lost is 15.

Step-by-step explanation:

Since the team played 34 games and lost 6, the number of games where they got points is 28, therefore the number of wins plus draws, must be equal to that:

[tex]win + draws = 28[/tex]

Since each win values 3 points, while each draw values 1 point, then the number of points earned is given by:

[tex]3*win + draws = 70\\[/tex]

We now have a system of equations, which we can solve.

[tex]win + draws = 28\\3*win + draws = 70\\[/tex]

Multiplying the first equation by -1:

[tex]-win- draws = -28\\3*win + draws = 70[/tex]

Adding both equations:

[tex]2*win = 42\\win = 21[/tex]

Since the team won 21 games and lost 6, the difference is 15.

Please help correct answer will be given brainiest!

Answers

Answer:

-12

Step-by-step explanation:

Each number is multiplied by -3 to get the next number. 4*(-3)=-12.

Which of the following is(are) the solution(s) to |x+8|=1
A. x=9
B. x= 7,9
C. x= -7, 9
D. x= -7

Answers

D. X = -7

Step 1: Subtract 8 from both sides.

x + 8 - 8 = 1 - 8

Answer:

x = -7

Given OR, how is it known that QS=YT?​

Answers

Answer:

Either A or B, or both. They are both true

Step-by-step explanation:

The diameter of a circle is and only can be one value. As long as you start from the center of the circle and go in a straight line. All radii lengths are congruent is also true. Im unsure if you can choose more than one answer

What force is exerted on a test charge of 3.25 E−5 C, if it is placed in an electric field of magnitude 1.40 E4 N/C? Remember to identify all data (givens and unknowns), list equations used, show all your work, and include units and the proper number of significant digits to receive full credit.

Answers

Answer:

0.46 newtons

Step-by-step explanation:

For these kinds of problems, you can employ the formula

[tex]E=\dfrac{F}{q}[/tex]

where E represents the field in N/C, F represents the force in newtons, and q represents the charge in coulombs. You can therefore set up the following equation:

[tex]1.4\times 10^4 N/C=\dfrac{F}{3.25\times 10^{-5}C} \\\\[/tex]

[tex]F=(1.4\times 10^4 N/C) \times (3.25 \times 10^{-5} C)=4.6 \times 10^{-1} N[/tex] (following sig figs)

Hope this helps!

Answer:

your answer is 1.50 E4 N/C

Step-by-step explanation:

Hi can anyone please help me I really need help please help me

Answers

Answer:

3811.2 cubic cm

Step-by-step explanation:

Formula for sphere volume: 4/3πr^3 and since r=10, then plugging it in will be 1000*4/3π≈4188.79. The cube has side length 10*2=20 and has a volume of 20^3=8000. 8000-4188.79=3811.21≈3811.2

Which two equations represent parallel lines?
A. Y=2x-5
B. Y=-1 over 2x +5
C. Y=1over2x-5
D. Y=2x+ 5
And why?

Answers

Answer:

A&D

Step-by-step explanation:

Lines with the same slope are parallel. 2x-5 and 2x+5 have the same slope

Answer:

A and D are parallel.

Step-by-step explanation:

Refer to the slope-intercept equation (y = mx + b).

M = the slope

If the slopes are equal, then the lines are parallel.

The slope for line A is 2, and so is the slope for line D.

Line A and line D are parallel.

7. Diana took 2 hours to cycle from town X to town Y. Her average speed was 10 kilometers per
hour.
a) Find the distance between the two towns. (2 marks)
b) If her average speed was increased by 2 kilometers per hour, how much time would she take
for the journey? (2 marks)

Answers

Answer:

a.) 20 kilometers

b.)1.67 hours

Step-by-step explanation:

a.) formula= speed =distance/time

Speed= 10km/hr

Distance=unknown

Time=2hrs

Therefore from formula, distance=speed x time

10 x 2

20 kilometers

b.) If average speed is increased by 2km/hr then

total speed= 2+10=12km/hr

Distance remains constant therefore distance= 20km

Therefore time =distance/speed

20/12

= 1.67 hours

The sum of the digits of a two-digit number is 14. If the number formed by reversing the digits is less than the original number by 18. Find the original numbers.

Answers

Answer:

86

Step-by-step explanation:

1. a+b=14 ⇒ a= 14-b

2. 10a+b=18+10b+a ⇒ a= 2+b

comparing 1 and 2:

14-b= 2+b ⇒ 2b= 12 ⇒ b= 6

a= 14-b= 8

number = 86

reversed number = 68

A bag contains four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. You randomly pick a jersey. It is purple or has an even number. * A: 0.714 B:0.727 C:0.778 D:0.286

Answers

Answer:

A: 0.714

Step-by-step explanation:

four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. for a total of 7 jerseys

3 even + 3 purple - the purple even ( no double counting) = 5

P( purple or even) = purple or even / total

                              = 5/7

                              = .71428

Will give BRAINLIEST cuz ion know how to do this yall :)


Describe, in detail, the sequence of transformations for figure 1 to form Figure 3 put slide, flip and turn in the right order as the picture shows

Answers

Step-by-step explanation:

1 to 2. object 1 is moved 6 units down, and rotated 180° towards the left

2 to 3. object 2 is moved 6 units right


A line that passes through the point (x,y), with a y intercept of band a slope of m, can be represented by the equation y = mx + b.
A line is drawn on the coordinate plane that passes through the point (3.-6) and has a slope of 4. The y intercept of the line is

Answers

Answer:

y = 4x - 18

Step-by-step explanation:

Write out y = mx + b.

The slope of the line in question is 4.  Thus we have y = 4x + b.

Finally, substitute -6 for y, 3 for x and solve for b:

-6 = 4(3) + b, or -6 = 12 + b.  Then b = -18, and the equation of this line is

y = 4x - 18

Answer:

18

Step-by-step explanation:

y=4x-18 is the solution and 18 is the y-intercept because the b (18) is the y-intercept.

if x^4x^2/3=X^a what is the value of a?

Answers

Answer:

x^(4+2/3)=x^a

a=4+2/3=(12/3)+(2/3)=14/3

Step-by-step explanation:

What’s 4x^2+28x+24 factored?

Answers

Answer:

[tex](4x + 4)(x + 6) \\ [/tex]

Step-by-step explanation:

[tex]4 {x}^{2} + 28x + 24 \\ 4 {x}^{2} + 24x + 4x + 24 \\ 4x(x + 6) + 4(x + 6) \\ (4x + 4)(x + 6)[/tex]

hope this helps you.

brainliest appreciated

good luck!

have a nice day!

Aubrey is putting flooring in a room that is 13 feet long and 10 feet wide. The flooring costs ​$4.00 per square foot. How much will the flooring for the room​ cost?

Answers

Answer: $520


Explanation: We can tell that this is an area problem from the mention of the square foot and from the simple fact that only area would cover the whole room.

The floor is a rectangle and the formula for area of a rectangle is A=lw.

13*10 is 130.

When you multiply this by 4, you get 520.

A^5 divided a^3 simplified

Answers

Answer:

[tex] {a}^{2} [/tex]

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \frac{ {a}^{5} }{ {a}^{3} } \\ = {a}^{5 - 3} \\ = {a}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Hey!!

The answer is a^2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

What is the sum?4 1/2 + 5 1/2

Answers

Answer:

10

Step-by-step explanation:

plz mark as brainliest

Answer:

10

Step-by-step explanation:

Someone please help :(.

Answers

Answer:

  (-9, 16)

Step-by-step explanation:

If (x, y) = (-9, 4), then (x, 4y) = (-9, 4·4) = (-9, 16).

What percent of 660 is 99?

Answers

Answer:

15%

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

[tex]\frac{99}{660} =\\\\\frac{3}{20} =\\\\\frac{15}{100}[/tex]

99 is 15% of 660

What is the slope of the line that contains the points (-23, -16) and (13, -16)?

Answers

Answer:

Use the slope formula to find the slope   . m = 0

Step-by-step explanation:

Ans:

3/2. your welcome

Step-by-step explanation:

what is the answer 2+2=4-5/25

Answers

I got 3.8 but I’m not sure

Which of the following is this?

-A balanced budget

-A budget deficit

-A budget surplus

Answers

A budget deficit
The monthly Budget total is $240
The monthly expenses total is $250

what is the value of this expression when c=4 c^3/2

Answers

Answer:

8

Step-by-step explanation:

c ^ 3/2

Let c = 4

4 ^ 3/2

Rewriting 4 as 2^2

2 ^2 ^3/2

We know that a^b^c = a^(b*c)

2 ^(2*3/2)

2 ^3

8

the right answer is 8.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment....

Please help! Correct answer only please! I need to finish this assignment by today.

You flip a coin.

What is P(not tails)?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

1/2 or 0.5

Step-by-step explanation:

since there are two options, heads and tails, the probability of not flipping tails is 1/2, since the probability of flipping heads is 1/2

Answer:

1/2

Step-by-step explanation:

There are 2 sides of a coin.

Heads or Tails.

That means you have a 1/2 chance of getting tails. This also means you have 1/2 chance of not getting tails, in other words, getting heads.

1) A camera costs £180 in a 10% sale. What was the pre-sale price

Answers

Answer:

£200

Step-by-step explanation:

Let the original price of the camera be x.

The 10% discounted price of the camera is £180. This means that 10% of x was deducted from x to give £180:

x - (10/100 * x) = 180

x - 0.1x = 180

0.9x = 180

x = 180 / 0.9 = £200

The pre-sale price was £200.

sally has a part time job mowing lawns so she can save money for a new car. she charges $5 per hour define the independent and dependent variables

Answers

Answer:

Independent: Amount of hours she works

Dependent: Amount of money she makes

Step-by-step explanation:

The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.

The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.

can someone tell me how to do area i forgot

Answers

Answer:

the answer is

length * width

or side * side

Step-by-step explanation:

Answer:

Below:

Hope this helps :DDD

Step-by-step explanation:

Area of rectangle / square / parallelogram: Base * height

Area of triangle: [tex]\frac{Base*height}{2}[/tex]

Area of equilateral triangle: [tex]\frac{\sqrt{3} }{4} side^2[/tex]

Area of trapezoid:  [tex]\frac{Base1 + Base2}{2}*height[/tex]

Area of circle: [tex]\pi r^2[/tex]

Area of rhombus / kite: [tex]\frac{Diagonal1 * Diagonal2}{2}[/tex]

Work out the value of x

Ps I would appreciate if you showed me how to work it out

Thank you​

Answers

Answer:

x = 67.5°

Step-by-step explanation:

A circle's angles add up to 360°

So,

x+3x+90 = 360

4x+90 = 360

4x = 360-90

4x = 270

Dividing both sides by 4

x = 67.5°

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