Prove the polynomial identity 1. x ^ 2 - y ^ 2 = (x - y)(x + y)

Answers

Answer 1

9514 1404 393

Explanation:

Expand the right side using the distributive property, then collect terms.

  x² -y² = (x -y)(x +y)

  = (x)(x +y) -y(x +y)

  = x² +xy -yx -y²

  = x² +(xy -xy) -y²

  = x² -y² . . . . . . . . . . as required


Related Questions

find the sum
13,131.2+138.13

Answers

Answer:

13269.33

Step-by-step explanation:

Help me with this please

Answers

w =8

w^2-4w-2
=8^2-4•8-2
=64-32-2
=32-2
=30

Erin needs $100 to pay a bill. She already has $25.00 in the bank. She earns $15.00
per hour at her job. How many hours does she need to work in order to have the
$100 she needs to pay her bill?

Answers

Answer:

5 hours

Step-by-step explanation:

100 - 15 = 75

75 ÷ by 15 = 5

Erin will need to work 5 more hours to pay her bill

Answer:

5 hours

Step-by-step explanation:

Erin needs $100 to pay the bill.

She has $25 in the bank.

First let's find how much money she needs more

[tex]100-25=75[/tex]

She needs $75

They said that,

she earns $15 per hour from her job.

Let the unknown hours be x.

Now let's find the hours she have to work to earn $75

 1h = $15

 x  =  $75

Use cross multiplication

[tex]75*1=15x\\\frac{75}{15} =\frac{15x}{15} \\5 h=x[/tex]

She needs to work for 5 hours in order to have the $100

Hope this helps you.

Let me know if you have any other questions :-)

Please help me help help me please help me out please please help please

Answers

Answer:

a

Step-by-step explanation:

Plz help I need help

Answers

Answer:

-4.3

Step-by-step explanation:

Add 1.2 to both sides to get rid of -1.2

a=-4.3 is what you come up with

Answer:

-27

Step-by-step explanation:

-1.2=-5.5

signos en la multiplicacion

- con + = -

+ con - = -

+ con + = +

- con - = +

-1.2=-2

-5.5=-25

-25-2=-27

signos en la resta y suma

+ con + =+

- con - = -

- con + = el valor mayor es que define el signo

+ con - = el valor mayor es que define el signo

What is left if I spend 8/15 of my pocket money in fraction?​

Answers

Answer:

Step-by-step explanation:

You'd start with p, the whole amount of your pocket money, and then subtract (8/15)p, obtaining (7/15)p.  In other words, you'd be left with seven fifteenths of your beginning pocket money.

If I spend 8/15 of my pocket money in fraction, then I have left 7/15 money.

What is subtraction?

The mathematical operation is subtraction. It is employed to eliminate words or expression's objects.

Given:

I spend 8/15 of my pocket money in fraction.

Let n be the total pocket money.

Then,

left money = n - 8n/15

Left money = (15n - 8n)/15

Left money = 7n/15

Therefore, 7/15 fraction money is left.

To learn more about the subtraction;

https://brainly.com/question/2346316

#SPJ2

PLEASE HELP MEEE
12+3/5x - 4=29

SHOW THE STEPS OR TELL HOW YOU DID IT!!!

Answers

steps are in photo..........

Answer is x= 35

12 + 3/5x - 4 = 29

Combine like terms
12+(-4) + 3/5x = 29
8 + 3/5x = 29

Get rid of you fraction by multiplying by 5 on both sides
8(5) + 3/5x (5) = 29(5)
40 + 3x = 145

Subtract 40 from each side to isolate the variable
40-40 + 3x = 145 - 40
3x = 105

Divide by 3 on both sides
3x / 3 = 105 / 3
x = 35

And done

x=35

When y = 24, x = 3
Find y when x = 4

Answers

Answer:

y=32

Step-by-step explanation:

The relationship between the value of x and y is multiplying by 8, therefore when x equals 4, y equals 32.

A cheerful teen willing to help,

listening to "Rise Up,"

stay salty...

Answer:

32

Step-by-step explanation:

simplify 24/3 = 8 then (24 / 4) *  (2) = 48/8 = 6  = 6/8 = 3/4    we need to divide 24 by 3/4  = 32   or show 24  * 3/4   = 32     32 * 3/4 =  24

help pls due a 9:45am

Answers

Answer: 1: It's D

Step-by-step explanation:Lou sold more jewerly because 40 is 20% of 200 and jacob only sold 35.

Below are three advertisements for the same mini fridge from three different stores. You will need to get a credit card from one of the stores in order to buy the fridge. Complete the calculations to determine what the best deal is for you. Show your work!

Mini-Fridge Cost: $300
New Applicant Discount: 10%
Annual Interest Rate: 14.99%
Minimum Monthly Payment: $23

Mini-Fridge Cost: $285
New Applicant Discount: 5%
Annual Interest Rate: 15.99%
Minimum Monthly Payment: $19

Mini-Fridge Cost: $315
New Applicant Discount: 12%
Annual Interest Rate: 12.99%
Minimum Monthly Payment: $26


Part 1: If you only make the minimum payment each month, how long will it take you to pay off each bill AND what is your total for each credit card?

Part 2: If you pay $70 per month for the first 5 months, what will your remaining balance be for each credit card in the 6th month.

Answers

Answer:

a) 13 months, $293.82. b) 16 months, $302.25. c) 12 months, $296.18a) $71.55 cr. b) $70.17 cr. c) $65.13 cr. (Or, all are 0 in the 6th month)

Step-by-step explanation:

Part 1

The attached spreadsheet shows the remaining balance after each payment for each of the payment scenarios. The negative balance at the end of the payment period represents the credit that the account would have if the last payment is the full minimum payment amount. In real life, the last payment would be reduced by that value.

Card A. The 13th payment will result in a credit. It takes 13 months to pay off the credit card. The total of payments is 13×$23 -5.18 = $293.82.

Card B. The 16th payment will result in a credit. It takes 16 months to pay off the credit card. The total of payments is 16×$19 -1.75 = $302.25.

Card C. The 12th payment will result in a credit. It takes 12 months to pay off the credit card. The total of payments is 12×$26 -15.82 = $296.18.

The best deal is Card A.

__

Part 2

All of the cards will be completely paid off in 5 months. The remaining balance in the 6th month is zero. The above "Answer" block shows the credit balance each card will have if payments continue to be made for 5 months.

The best deal is Card A, which will have the lowest total of payments.

_____

How the calculations are done

The balance at each step in the spreadsheet is computed as ...

  (previous balance) × (1 + rate/12) - (payment)

For example, the balance after the first payment on card A is ...

  $270 × (1 +0.1499/12) -23.00 = $273.37 -23.00 = $250.37

Each calculation is rounded to cents, as it would be on a real credit card.

A number increased by the sum of the number and four is 20. Find the number.

Answers

Answer:

i think 5 is the right answer

.Which deal is better to buy 9 pounds of bananas for $5.49 3 pounds of bananas for $1.59

Answers

Answer:

3 pounds of bananas for $1.59

Step-by-step explanation:

9 pounds of bananas for $5.49

5.49 / 9

0.61

3 pounds of bananas for $1.59

1.59 / 3

0.53

Comparing

0.61 < 0.53

0.53 -> 3 pounds of bananas for $1.59

Have a nice day!

   I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

P(3,4), y = x - y 1​

Answers

Answer:

i don knwo

Step-by-step explanation:

but thanks for the points lol

Shows that n+1Cn= mCn-1 + mCn

Answers

Answer:

I think the Question is incorrect; the left hand side of the equation should be

m+1Cn

Step-by-step explanation:

a car is traveling at a rate of 45 kilometers per hour. what is the cars rate in kilometers per minute? how many kilometers will the car travel in 2 minutes? do not round your answer.
Need answers asap have 30 mins left for test

Answers

Answer:he will travel 0.75 km per minute aND 1.50 km per 2

Step-by-step explanation:45 / 60

0.75 + 0.75

How much water should be added to 180 liters of a 25% saline solution to make an 18% saline solution?​

Answers

Answer:

it should be 14 liters if it's not I'm sorry

hlep with ixl please q.17

Answers

It should be b
I hope that helps

Which fraction is equivalent to 2/10

Answers

Answer:

1/5

Step-by-step explanation:

I have more if you need them

Answer:

4/20. 1/5. 6/30. etc

Step-by-step explanation:

make sure you add the answer options for more help :)

Please find the correct answer for this question because I will give you hearts and brainliest and also it is worth a lot of points. It is from savass this assignment so please get it correct.

Answers

Answer:

Step-by-step explanation:

(4/6 - 5/6) / (3/4)(-1/6)/(3/4) -1/6 X 4/3-4/18-2/6-1/3

Which figure is a net for a cube?

Answers

i think the answer is D because consists 6 square faces and 12 edges

Use the distributive property with 5(8-3)

Answers

The correct answer is 25

What value of w makes the equation below true 7w - 3w = 2(3w + 11)

Answers

Answer:

w = -11

Step-by-step explanation:

[tex]7w-3w=2(3w+11)\\4w=6w+22\\-2w=22\\w=-11[/tex]

Answer:

w = -11

Step-by-step explanation:

7w - 3w = 2(3w + 11)

Combine like terms on the left

4w = 2(3w + 11)

Divide by 2

4/2w = 2/2(3w + 11)

2w =(3w + 11)

Subtract 3w from each side

2w-3w = 3w+11-3w

-w = 11

Multiply by -1

w = -11

no links A runner completed 27 laps around the track in 43.2 minutes. If he kept the same pace for each lap, how many minutes did it take to complete 1 lap?

A.
1.23

B.
1.43

C.
1.5

D.
1.6

Answers

Answer:

D

Step-by-step explanation:

43.2/27=1.6

Need help ASAP

Find a value for A that makes each statement true.
a. A / 6 is greater then 1
b. A / 6 is equal to 1
c. A / 6 is less then 1
d. A / 6 is equal to a whole number

Answers

Answer:

yikes shes just some simple fractions

a. 12/6

b. 6/6

c. 3/6

d6/6

4 values;
a) 7/6 (it is greater than 1)
b) 6/6 (6/6 = 1)
c) 4/6 (4/6 < 1)
d) 12/6 (12/6 = 2, a whole number)
I think that’s what your asking! Sorry if I’m wrong!

4.
Which equation is represented by the graph?



A. y = 1/2x^2 + 1

B. y = 2x2 − 1

C. y = x2 − 1

D. y = 2x2 + 1

Answers

Answer:

A

Step-by-step explanation:

You can eliminate B and C because the y intercept in 1, not -1. Then, you can  also eliminate D, because it is a linear equation.

Answer:  The answer is NOT Letter C. y = x2 − 1

A. y = 1/2x^2 + 1

Step-by-step explanation:  Math.way

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  ( 0 ,  1 )

Focus:  ( 0 ,  3 /2 )

Axis of Symmetry:  x = 0

Directrix:  y = 1 /2

x                         y

− 2                      3

− 1                       3

2                        0

1                         1

3                        2

2                        3

Please please help please help me please please help me

Answers

Answer:

  y = 3/4x +1/4

Step-by-step explanation:

Counting grid squares between the marked points, we find the point on the right is 6 units up and 8 units right of the one on the left. That means the slope of the line is ...

  m = rise/run = 6/8 = 3/4

The y-intercept can be found from the slope and one of the points. The coordinates of the point on the left are (x, y) = (-3, -2), so we have ...

  b = y -mx

  b = -2 -(3/4)(-3) = -2 +9/4 = 1/4

Then the equation of the line is ...

  y = mx +b

  y = 3/4x +1/4

HELP PLEASE! NO LINKS

Answers

Answer:

The answer is b the slope is negative 2 and the y-intercept is (0,3)

Step-by-step explanation:

The y-intercept is simply the point of the line that is on the y-axis. And a point can only be on the y-axis if it's x coordinate is zero. So from the table you can tell that the y-intercept is (0,3)

To find the slope you use the equation Y=Mx+b. In the equation M represents the slope, b represents the y-intercept and x and y represent the x and y of a point on the line. First plug in the y-intercept into the equation. You will get 3 =m(0) + b. Which you can use to find out that b is 3. Now your equation is 3 = Mx + 3. Now you can put in another to solve it. let's do the point (2,-1). You plug in the x and Y to get the equation -1 = m(2) +3. Subtract 3 from both sides to get -4 =m(2). Then divide 2 from both sides to get m=-2. Therefore the slope is -2

There where four times as many trucks as vans. What is the ratio of the statements could compare the number of trucks to vans .

Answers

Answer:

4:1

Step-by-step explanation:

4 trucks for 1 van

What is the measure of angle B?

Hint: Angle B and the 63° angle are alternate interior angles.

Answers

Answer:

63 degrees

Step-by-step explanation:

Alternate interior angles have the same measure

i need help on this problem im clueless right now…

Answers

Answer:

domain: 4, -4, 2, 3, 10

range: 9,3,-5

FUNCTION

Step-by-step explanation:

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