What is (u/v-w)(u/v+w) ?

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

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simplify (u/v-w)(u/v+w)

simplify

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

\frac{( - w v + u ) ( w v + u )}{v ^{2}}

Solution steps

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

Join

\frac{u}{v} - w : \frac{- w v + u}{v}

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

Apply the fraction rule:

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

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

Simplify

(- w v + u) (\frac{u}{v} + w) : \frac{( - w v + u ) ( w v + u )}{v}

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

Apply the fraction rule:

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

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

Apply exponent rule:

aa = a^{2}

vv = v^{2}

= \frac{( - w v + u ) ( w v + u )}{v ^{2}}

\frac{2}{s ( 4 s ^{2} + 3 s + 1 )}

x^{t a n (x)} (sec^{2} (x) ln (x) + \frac{tan ( x )}{x})

3 (m)

(2 x - \frac{1}{x ^{2}})^{4}

\frac{- x ^{2} + 5 x - 2}{x ( x + 1 ) ( x - 1 )}

What is (u/v-w)(u/v+w) ?
The solution to (u/v-w)(u/v+w) is ((-wv+u)(wv+u))/(v^2)