`xy((x)/(y)-y)`
Which of the following is equivalent to the expression above?

Options

A. `x^(2)-y^(2)`
B. `1-xy^(2)`
C. `x^(2)-xy^(2)`
D. `2x-2xy`

Answer

C

Explanation

Difficult: Medium
Category: Passport to Advanced Math/ Exponents
Strategic Advice: When a product contains paretheses, and none of the terms inside the paratheses are like terms, chances are that you need to apply the distributive property. Then simplify using the rules of exponents.
Getting to the Answer: Rather than distribution mentally, rewrite the expression so that xy is multiplied by each term inside the paratheses:
`xy((x)/(y)-y)=xy((x)/(y))-xy(y)=x^(2)-xy^()`
The correct answer is (C).