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

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

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

simplify

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

- y - x

Solution steps

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

Apply Difference of Two Squares Formula:

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

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

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

x - y = - (y - x)

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

Cancel the common factor:

y - x

= \frac{y + x}{- 1}

Apply the fraction rule:

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

= - (y + x)

Apply the distributive law:

- (a + b) = - a - b

- (y + x) = - y - x

= - y - x

\frac{6}{5 - 3}

\frac{1}{y} - 2

\frac{( 4 u ^{2} ) ^{4}}{12 u ^{5}}

12 x - 2 [4 x - 7 (x - 2) + 3]

4^{2} + (- 3)^{2}