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

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

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

simplify

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

- x

Solution steps

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

Factor

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

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

y - x = - (x - y)

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

Cancel the common factor:

x - y

= \frac{x}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - x

(- 6) - (- 4)

6 \cdot 45

45 u^{2} - 150 uv + 125 v^{2}

- 5 x

(k + 5)^{2}