What is (x^2y+y^2x)/(x(x+y)) ?

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

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

simplify

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

y

Solution steps

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

Factor

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

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

Cancel the common factor:

x

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

Cancel the common factor:

x + y

= y

4 x^{2} + 8 x - 12

\frac{( 4 h ^{3} ) ^{3}}{20 h ^{2}}

\frac{- 5}{- 7}

64 y^{6} + 27 x^{9}