What is (a^2-b^2}{(ab)/(\frac{a-b)/b)} ?

The solution to (a^2-b^2}{(ab)/(\frac{a-b)/b)} is ((a^2-b^2)(a-b))/(ab^2)

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simplify (a^2-b^2}{(ab)/(\frac{a-b)/b)}

simplify

\frac{a ^{2} - b ^{2}}{\frac{ab}{\frac{a - b}{b}}}

\frac{( a ^{2} - b ^{2} ) ( a - b )}{a b ^{2}}

Solution steps

\frac{a ^{2} - b ^{2}}{\frac{ab}{\frac{a - b}{b}}}

Apply the fraction rule:

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

= \frac{( a ^{2} - b ^{2} ) \frac{a - b}{b}}{ab}

Simplify

(a^{2} - b^{2}) \frac{a - b}{b} : \frac{( a ^{2} - b ^{2} ) ( a - b )}{b}

= \frac{\frac{( a ^{2} - b ^{2} ) ( a - b )}{b}}{ab}

Apply the fraction rule:

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

= \frac{( a ^{2} - b ^{2} ) ( a - b )}{bab}

Simplify

bab : a b^{2}

= \frac{( a ^{2} - b ^{2} ) ( a - b )}{a b ^{2}}

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What is (a^2-b^2}{(ab)/(\frac{a-b)/b)} ?
The solution to (a^2-b^2}{(ab)/(\frac{a-b)/b)} is ((a^2-b^2)(a-b))/(ab^2)