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Popular >

simplify (x^2+xy)/(xy+y^2)

Solution

simplify

\frac{x ^{2} + x y}{x y + y ^{2}}

Solution

\frac{x}{y}

Solution steps

\frac{x ^{2} + x y}{x y + y ^{2}}

Factor

x^{2} + x y : x (x + y)

= \frac{x ( x + y )}{x y + y ^{2}}

Factor

x y + y^{2} : y (x + y)

= \frac{x ( x + y )}{y ( x + y )}

Cancel the common factor:

x + y

= \frac{x}{y}

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Frequently Asked Questions (FAQ)

What is (x^2+xy)/(xy+y^2) ?
The solution to (x^2+xy)/(xy+y^2) is x/y