athomasnavyp0g9jw athomasnavyp0g9jw
  • 04-05-2019
  • Mathematics
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Please answer ASAP! 100 points!
Simplify the expression: (2x-3y)^2/(3y-2x)^2

Please answer ASAP 100 points Simplify the expression 2x3y23y2x2 class=

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gmany
gmany gmany
  • 04-05-2019

Answer:

[tex]\large\boxed{\dfrac{(2x-3y)^2}{(3y-2x)^2}=1}[/tex]

Step-by-step explanation:

[tex]\dfrac{(2x-3y)^2}{(3y-2x)^2}=\dfrac{(2x-3y)^2}{\left(-1(2x-3y)\right)^2}\qquad\text{use}\ (ab)^n=a^nb^n\\\\=\dfrac{(2x-3y)^2}{(-1)^2(2x-3y)^2}=\dfrac{(2x-3y)^2}{1(2x-3y)^2}=\dfrac{(2x-3y)^2}{(2x-3y)^2}=1[/tex]

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