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stiks02 [169]
3 years ago
6

Which expression is equivalent to 9x^2-2y+3x^2-3y

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
4 0

Answer:The answer is choice B

Step-by-step explanation: (3x-2y)2-(2x-3y)2  

Final result :

 5 • (x + y) • (x - y)

Step by step solution :

Step  1  :

1.1     Evaluate :  (3x-2y)2   =    9x2-12xy+4y2  

1.2     Evaluate :  (2x-3y)2   =    4x2-12xy+9y2  

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  5x2 - 5y2  =   5 • (x2 - y2)  

Trying to factor as a Difference of Squares :

2.2      Factoring:  x2 - y2  

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 :  x2  is the square of  x1  

Check :  y2  is the square of  y1  

Factorization is :       (x + y)  •  (x - y)  

Final result :

 5 • (x + y) • (x - y)

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azamat

To be parallel with that line the equation has to have the same slope as the equation given, like y = 10x + 3.

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3 years ago
Angle r and 92 are supplementary angles. what equation can you use to solve for r?
Oxana [17]

Answer:

88°

Step-by-step explanation:

<h3>supplementary angle are angles that add up to 180°</h3>

r+92= 180

r= 180-92

r = 88°

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Chuge%5Cfbox%5Cpurple%7BQuestion%7D" id="TexFormula1" title="\huge\fbox\purple{Question}" al
ICE Princess25 [194]

The LCM of the given numbers have been determined.

<h3>What is LCM ?</h3>

LCM stands for Least Common Multiple .

For two numbers , LCM is the number that is the smallest number of which they both are a factor.

It is asked to determine

LCM of 6 and 9

6 = { 6 , 12 , 18 , 24 , 30 , 36 , 42 .....}

9 = { 9 , 18 ,27 .....}

The LCM of 6 , 9 is 18

LCM of 8 and 12

8 = { 8,16,24,32....}

12 = {12 , 24 ,36....}

The LCM of 8 and 12 is 24

LCM of 4 , 6 and 8

4 = {4 , 8 , 12 , 16 , 20,24,28 ....}

6 = { 6 ,12 ,18,24......}

8 = {8 , 16,24 .....}

The LCM of 4,6 and 8  is 24

The LCM of 6 and 15 is 30  

The LCM of 20 and 30 is  60

The LCM of 25,30 and 75 is 150

The image of the solution is attached .

To know more about LCM

brainly.com/question/20739723

#SPJ1

6 0
2 years ago
Find the perimeter <br><br> 18<br> 34<br> 36<br> 40
Katyanochek1 [597]
I believe that it is 34
3 0
3 years ago
Latoya has a large collection of basketball cards. She gave half to a friend and a 1/4 to her brother. She still has 75 cards le
Murljashka [212]

Answer: She had 200 cards to start with

Step-by-step explanation:

Let x = the amount of cards she had initially. This means she had x cards to start with.

She gave half of the cards she had to a friend. This means she gave her friend x/2 cards. She is left with with (x-x/2) = x/2 cards.

She also gave 1/4 of the remaining cards to her brother. This means that she gave (1/4 × x/2) = x/8 cards to her brother.

Remaining number of cards will be x/2 - x/8 = (4x-x)/8 = 3x/8

She still has 75 cards left. This means

3x/8 = 75

Cross multiplying with 8, it becomes

3x = 75×8 = 600

x = 600/3 = 200

She had 200 cards to start with.

4 0
3 years ago
Read 2 more answers
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