448,009 views
5 votes
5 votes
Can someone please help me with this math problem? Please.

Simplify the expression:(2x-3y)^2/(3y-2x)^2 Ava simplified the expression and said that the value is -1. (2x-3y)^2/(3y-2x)^2 (2x-3y)^2/-(2x-3y)^2 and then she has both of them crossed out (2x-3y)^2/-1(2x=3y)^2 =-1 Is Ava's solution correct? If not, find and explain her mistake. Give the correct solution.

User Harout
by
2.9k points

2 Answers

16 votes
16 votes

Answer:

incorrect

Explanation:

User Opsguy
by
3.1k points
18 votes
18 votes

Answer:

Ava is incorrect

Explanation:

Given


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Required

Determine if Ava is correct or not

Ava's solution is incorrect and the proof is as follows;


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Apply the following law of indices;


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Rewrite the numerator


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Cross out the common factor of the numerator and denominator


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image


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Hence, the solution is 1; not -1

Her mistake is that, she did not apply the square on -1, after she factorize the denominator

User HiveHicks
by
3.2k points
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