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PS · Problem Solving

555-605

Algebra

Given that x is not equal to y and y is greater than 2, which of the following expressions is equivalent to $\frac{y^2(y-2) - x^2(y-2)}{y(y-x) - (y-x)}$ ?

Answer Choices

Correct answer marked below

A

x + y

\frac{(y-2)(y+x)}{y-1}

Correct

C

\frac{(y-2)(y+x)}{y+1}

D

\frac{(y-2)(y-x)}{y-1}

E

-x - y

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Given that x is not equal to y and y is greater than 2, which of the following expressions is equivalent to $\frac{y^2(y-2) - x^2(y-2)}{y(y-x) - (y-x)}$ ?

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Given that x is not equal to y and y is greater than 2, which of the following expressions is equivalent to y2(y−2)−x2(y−2)y(y−x)−(y−x)\frac{y^2(y-2) - x^2(y-2)}{y(y-x) - (y-x)}y(y−x)−(y−x)y2(y−2)−x2(y−2)​?

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Given that x is not equal to y and y is greater than 2, which of the following expressions is equivalent to $\frac{y^2(y-2) - x^2(y-2)}{y(y-x) - (y-x)}$ ?