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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 x (x^{2} + x y) - 2 y (y^{2} + x y) : 2 x^{3} + 2 x^{2} y - 2 y^{3} - 2 x y^{2}

= \frac{2 x ^{3} + 2 x ^{2} y - 2 y ^{3} - 2 x y ^{2}}{( y ^{2} + x y ) ( x ^{2} + x y )}

Cancel

\frac{2 x ^{3} + 2 x ^{2} y - 2 y ^{3} - 2 x y ^{2}}{( y ^{2} + x y ) ( x ^{2} + x y )} : \frac{2 ( x - y )}{y x}

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

y^{5} + x y^{3}

212 - 327 + 248

\frac{3}{4} o f^{4}

5 x^{3} - 7 x

1 \times 1 0^{- 2}

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