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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Convert

x

to fraction

: \frac{x ( x - y )}{x - y}

Convert

y

to fraction

: \frac{y ( x - y )}{x - y}

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

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

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

Simplify

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

= \frac{x ^{2}}{x - y}

Popular Examples

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Frequently Asked Questions (FAQ)

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