Answer:
[tex]4(x + 1)^{2}(x - 1)^{2}[/tex]
Step-by-step explanation:
STEP 1:
The equation at the end of step 1
[tex]((4 (x^4)) - 2^3x^2) + 4[/tex]
STEP 2:
The equation at the end of step 2:
[tex](2^2x^4 - 2^3x^2) + 4[/tex]
STEP 3:
STEP 4: Pulling out like terms
4.1 Pull out like factors:
[tex]4x^4 - 8x^2 + 4 = 4(x^4 - 2x^2 + 1)[/tex]
Trying to factor by splitting the middle term
4.2 Factoring [tex]x^4 - 2x^2 + 1[/tex]
The first term is, [tex]x^4[/tex] its coefficient is 1.
The middle term is, [tex]-2x^2[/tex] its coefficient is -2.
The last term, "the constant", is +1.
Step-1: Multiply the coefficient of the first term by the constant 1 • 1 = 1
Step-2: Find two factors of 1 whose sum equals the coefficient of the middle term, which is -2.
-1 + -1 = -2 That's it
Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and -1
x4 - 1x2 - 1x2 - 1
Step-4 : Add up the first 2 terms, pulling out like factors :
x2 • (x2-1)
Add up the last 2 terms, pulling out common factors :
1 • (x2-1)
Step-5 : Add up the four terms of step 4 :
(x2-1) • (x2-1)
Which is the desired factorization
Trying to factor as a Difference of Squares:
4.3 Factoring: x2-1
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 1 is the square of 1
Check : x2 is the square of x1
Factorization is : (x + 1) • (x - 1)
Trying to factor as a Difference of Squares:
4.4 Factoring: x2 - 1
Check : 1 is the square of 1
Check : x2 is the square of x1
Factorization is : (x + 1) • (x - 1)
Multiplying Exponential Expressions:
4.5 Multiply (x + 1) by (x + 1)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+1) and the exponents are :
1 , as (x+1) is the same number as (x+1)1
and 1 , as (x+1) is the same number as (x+1)1
The product is therefore, (x+1)(1+1) = (x+1)2
Multiplying Exponential Expressions:
4.6 Multiply (x-1) by (x-1)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-1) and the exponents are :
1 , as (x-1) is the same number as (x-1)1
and 1 , as (x-1) is the same number as (x-1)1
The product is therefore, (x-1)(1+1) = (x-1)2
Final result :
4 • (x + 1)2 • (x - 1)2
If A = (- 1, - 3) and B = (11, - 8) what is the length of AB? 13 units 12 units C. 11 units D. 14 units
Answer:
12 units is the answer.
Find the volume of a cylinder with a height of 6 cm and a radius of 3 cm.
2 cm
Step-by-step explanation:
V≈169.65cm³
R = Radius
H = Height
Answer:
54
Step-by-step explanation:
The instructions are on the picture whoever answers this question will be the brainliest!!
Answer:
-3
3/2
Step-by-step explanation:
Y intercep is the point where the line intercepts the y axis. That is 3 in this graph.
slope. Choose two points. For the sake of explainin, I am choosing
(-3,1)
and (0,3). That’s the y intercept!!
The slope is the rate of increase. We have to measure it like we do with stairs. The rise divided by the run
the rise is 2. See the picture. The run is 3(change in x) the x increases by 3 between 2 integer points while the y changes by 3(change in y —>3 minus 1)
Rise= 3
run =2
Slope=rise/run=3/2
define el concepto de renacimiento y el de humanismo
Answer:
Renacimiento es el nombre dado en el siglo XIX a un amplio movimiento cultural que se produjo en Europa Occidental durante los siglos XV y XVI. ... El Renacimiento fue fruto de la difusión de las ideas del humanismo, que determinaron una nueva concepción del hombre y del mundo.
Step-by-step explanation:
Please give thanks to all my answers and please mark as brilliant and please follow me
(Grade 7 math) What is the area of the triangle when b=3.5 and h=3? B is the base and h is the height
Answer:
The area of the triangle
A = 5.25 square units
Step-by-step explanation:
Explanation:-
Given that the base of the triangle(b) = 3.5
The height of the triangle(h) = 3
The area of the triangle
[tex]A = \frac{1}{2} base X height[/tex]
[tex]A = \frac{1}{2} (3.5) (3)[/tex]
A = 5.25 square units
Rose and Carl share a 24-ounce bucket of clay. By the end of the week, Rose has used 3 8 of the bucket, and Carl has used 1 4 of the bucket of clay. How many ounces are left in the bucket?
Answer:Quantity of Clay left = 9ounce
Step-by-step explanation:
Quantity of clay in the bucket = 24 ounce
Quantity of clay used by rose=3/8 of 24 ounce = 4 x 3 = 9 ounce
Quantity of clay used by Carl= 1/4 of 24 ounce = 6 ounce
Therefore Quantity of Clay left = Quantity of clay in the bucket - (Quantity of clay used by rose+ Quantity of clay used by Carl
24 ounce - ( 9ounce + 6 ounce )
24-15ounce
= 9 ounce
Describe how an equation ditt
from an expression.
7. 24 less than the number of snakes is 35.
Answer:
idek
Step-by-step explanation:
!!!!!PLEASE HELP MEEEEE!!!!!
Answer:
c hehhe
Step-by-step explanation:
please help me on this will give you brainliest
Which set of values makes the inequality x + 2 ≥ 0 true?
Answer:
-2
Step-by-step explanation:
please can someone help me with this
Answer:
Too blurry to read
Step-by-step explanation:
The values of given bases is 1559, 3139, 648 and 170.
We are given that;
The four equations
Now,
a) 66+9t9+48 (base twelve)
[tex]= 6×12¹+6×12⁰ + 9×12²+10×12¹+9×12⁰ + 4×12¹+8×12⁰[/tex]
= 72+6+1296+120+9+48+8
= 1559 (base twelve)
b) 5117-324 (base eight)
[tex]= 5×8³+1×8²+1×8¹+7×8⁰ - (3×8²+2×8¹+4×8⁰)[/tex]
= 3272 + 64 + 8 + 7 - (192 + 16 + 4)
= 3139 (base eight)
c) 242 x 14 (base five)
[tex]= (2x5² + 4x5¹ + 2x5⁰) x (1x5¹ + 4x5⁰)[/tex]
= (50 + 20 + 2) x (5 + 4)
= 72 x 9 =648 (base ten) = 10130(base five)
d) 101010111 (base two)
[tex]= 1x2⁷ + 0x2⁶ +1x2⁵ +0x2⁴ +1x2³ +0x2² +1x2¹ +0x2⁰[/tex]
=128+32+8+2=170 (base ten)
Therefore, by algebra the answer will be 1559, 3139, 648 and 170.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ4
-(7p+6)-2(-1-2p)
what is that simplified?
Answer:
-3p-40
Step-by-step explanation:
-(7p+6)-2(-1-2p)
-7p-42+2+4p
-3p-40
math help me pls now now
Answer:
14/1
Step-by-step explanation:
16/3 –5/4
(16*4–5*3)/12
49/12
1 4/1
Answer: 4 1/12
Step-by-step explanation:
Hope this helps!
Which of the following best describes the equation below?
y = -3x - 13
A.
both linear and nonlinear
B.
nonlinear
C.
neither linear nor nonlinear
D.
linear
Answer:
d. linear
Step-by-step explanation:
using the format y=mx+b
There are 6 bananas in a bunch and 4 monkeys want to share them
evenly. How many bananas does each monkey get? *
Answer:
1.5 banana each
Step-by-step explanation:
Which of the following best describes the equation below?
y = -5x + 12
A.
nonlinear
B.
linear
C.
both linear and nonlinear
o
D.
neither linear nor nonlinear
Answer:
B. linear equation
Step-by-step explanation:
How can you tell that whether the equation is linear or nonlinear?
Using an Equation
Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear. If your equation has no exponents, it is linear.
y = -5x + 12 has no exponents that's why it is a linear equation.
Hope this helps:)
solve for x or find x
Solve this equation
12y = 30
Answer:
hI!!
Y = 5/2
Step-by-step explanation:
Let's solve your equation step-by-step.
12y=30
Step 1: Divide both sides by 12.
12y/12 30/12
sin^2A+cos^2A=? .find the value.
Answer:
1
Step-by-step explanation:
it is an identity. hope it helps
2) Add the following:
4a2 + b2 – 3ab, 3a2 – 7b2 + 8ab and a2 – b2 + 2ab
Answer:
8a2-8b2+7ab
Step-by-step explanation:
Putting together all of the a2 gets you to 8a2
Putting together all of the b2 gets you to -8b2
Putting together all of the ab gets you to 7ab
Find the product (x + 4)
Answer:
4x
Step-by-step explanation:
It would be 4x because you have no value given of the variable "X"
therefore, your answer would just be adding the x to the 4 making it 4x
hope this helped!
ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART I ONLY NEED A FEW SENTENCES!
Please answer the following essay question:
An isosceles triangle has two congruent angles. Write an expression to represent the measure of the third angle of the triangle. Explain.
Answer:
third angle =180-two congruent angles. is expression.
Find the solution of y = 3x + 3 for x = –3.
(12, –3)
(–3, –6)
(–3, 0)
(–3, –2)
Answer:
B.
Step-by-step explanation:
Well, we know x=-3.
Substitute -3 for x in the equation, and solve. You should get -6.
(x,y)
(-3,-6)
How do I graph y=x-3 and y=-2x+6
Answer:
you can use a graphing calc
Step-by-step explanation:
PLEASE HELP ITS DUE SOONNNNN
Answer:
1 is correct.
2 is incorrect.
3 is correct.
4 is correct.
5 is correct.
6 is incorrect.
Step-by-step explanation:
You're welcome, hope I helped.
help plz. thank u so much.
Answer:
i think x/y=4
Step-by-step explanation:
any help would be cool
Step-by-step explanation:
the shape has been split into 2 shapes. one cuboid and a triangular prism . work out the volume of each shape .
hint : volume : h×l×w ( height times length times width)
so the cubiod is 12 times 29 times 12 =
you work out the answer for that .
the triangular prism you try working out the volume.
Khushali selects three different numbers from the set
{−7, −5, −3, −1, 0, 2, 4, 6, 8}. She then finds the product of the three chosen
numbers. What is the largest product that Khushali can make?
Answer:
The sample space for given condition is
(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)
(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)
(1,6),(2,6),(3,6),(4,6),(5,6)
(1,5),(2,5),(3,5),(4,5)
(1,4),(2,4),(3,4)
(1,3),(2,3)
(1,2)
Number of sample space is 28.
Number of sample space where the sum of two numbers is more than 13 is 2((6,8),(7,8)). Therefore the probability is
28
2
=
14
1
Step-by-step explanation:
please thank to all my answer and please mark as brilliant
whoever answers this question first gets brainly
Answer: B
Step-by-step explanation:
9.62112750.....
area = πr²
3.5 ÷ 2 = 1.75
1.75² × π = 9.6211250....
= 9.6 ft²
1) Resolva as expressões numéricas. Não esqueça de deixar os cálculos.
a) 2 + 8-3-5 + 15 =
b) 12 + (35 - (10 + 2) +2] =
c) [(18+32) + 8 +5 3] + 6 =
d) 37 + (-25 - (-11 + 19 - 4)] =
e) 60 = {2 • (-7 + 18 = (-3 + 12)]} - [7 • (-3) - 18 = (-2) + 1) =
f) -8 +{-5 + [(8-12) + (13 + 12)] - 10) =
Answer:
a=17
b=37
c=117
d=8
e=
f=-2
