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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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there are 2.25 one-thirds in a three-fourth.

Hope this helps you out!

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3 years ago
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WARNING : NON SENSE ANSWER REPORT TO MODERATOR ​
Rzqust [24]

Answer:

\frac{180}{147}

Step-by-step explanation:

  • Simplify (\frac{3}{-7} - \frac{11}{21} )

=> \frac{(-3 \times 3) - 11}{21}

=> \frac{-9 - 11}{21}

=> \frac{-20}{21}

  • Find the additive inverse of  \frac{-20}{21} by using its property - <em>"Sum of a number & its additive inverse is always zero". </em>Assume that 'x' is an additive inverse of  \frac{-20}{21}.

=> x + \frac{-20}{21} = 0

=> x = 0 - (-\frac{20}{21}) = \frac{20}{21}

  • Simplify (\frac{9}{5} \div \frac{7}{5} )

=> \frac{9}{5} \times \frac{1}{\frac{7}{5} }

=> \frac{9}{5} \times \frac{5}{7}

=> \frac{9}{7}

  • Now, find the product of \frac{9}{7} & \frac{20}{21}

=> \frac{9}{7} \times \frac{20}{21}

=> \frac{180}{147}

3 0
3 years ago
What is the reference angle in radians for 1380°?
ad-work [718]
Hello there.

What is the reference angle in radians for 1380°?

Answer: 60
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3 years ago
When you subtract one negative integer from another, will your answer be greater than or less than the integer you started with?
SVEN [57.7K]
So say for example u have -7 - (-5), think of subtracting integers as adding the opposite, so ur adding the opposite of -5, the opposite of -5 is 5, so ur adding -7 and 5= -2
another one: -15 - (-18)
again, adding the opposite. -15 plus positive 18= 3

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3 years ago
Help quick plzzz!!!!
Firdavs [7]

Answer:

you would mark at 3/5.

Step-by-step explanation:

because 3/5 divided by 1/10 is 6.

then you would convert that to a decimal then fraction and that would end up being 3/5

7 0
3 years ago
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