What is (v^2-u^2)/(u-v) ?

The solution to (v^2-u^2)/(u-v) is -v-u

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simplify (v^2-u^2)/(u-v)

simplify

\frac{v ^{2} - u ^{2}}{u - v}

- v - u

Solution steps

\frac{v ^{2} - u ^{2}}{u - v}

Apply Difference of Two Squares Formula:

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

v^{2} - u^{2} = (v + u) (v - u)

= \frac{( v + u ) ( v - u )}{u - v}

u - v = - (v - u)

= \frac{( v + u ) ( v - u )}{- ( v - u )}

Cancel the common factor:

v - u

= \frac{v + u}{- 1}

Apply the fraction rule:

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

= - (v + u)

Apply the distributive law:

- (a + b) = - a - b

- (v + u) = - v - u

= - v - u

\frac{5}{5}

\frac{- m p}{mn p}

3 x + 3 = 2 x + 9

(x) (1 \cdot 1 0^{- 3}) = (1 \cdot 1 0^{- 4}) (25)

(x - 3)^{2} (x^{2} + x + 1) \geq 0