What is expand ((a-b))/(asqrt(b)-b\sqrt{a)} ?

The solution to expand ((a-b))/(asqrt(b)-b\sqrt{a)} is 1/(sqrt(b))+1/(sqrt(a))

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expand ((a-b))/(asqrt(b)-b\sqrt{a)}

expand

\frac{( a - b )}{a b - b a}

\frac{1}{b} + \frac{1}{a}

Solution steps

\frac{a - b}{a b - b a}

Rationalize

\frac{a - b}{a b - b a} : \frac{a b + b a}{ab}

= \frac{a b + b a}{ab}

Apply the fraction rule:

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

\frac{a b + b a}{ab} = \frac{a b}{ab} + \frac{b a}{ab}

= \frac{a b}{ab} + \frac{b a}{ab}

Cancel

\frac{a b}{ab} : \frac{1}{b}

= \frac{1}{b} + \frac{b a}{ab}

Cancel

\frac{b a}{ab} : \frac{1}{a}

= \frac{1}{b} + \frac{1}{a}

\frac{x ^{2}}{( 8 + x ) ^{3}}

(4 i - 2 k) l e f t (i + j + k)

L (t - 2) u (t)

(\frac{m ^{4}}{4} - n^{6}) (\frac{m ^{4}}{4} + n^{6})

x (a x - x)^{2} d x

What is expand ((a-b))/(asqrt(b)-b\sqrt{a)} ?
The solution to expand ((a-b))/(asqrt(b)-b\sqrt{a)} is 1/(sqrt(b))+1/(sqrt(a))