What is ((a-(a^2)/b))/((b-a)) ?

The solution to ((a-(a^2)/b))/((b-a)) is a/b

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simplify ((a-(a^2)/b))/((b-a))

simplify

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

\frac{a}{b}

Solution steps

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

Join

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

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

Apply the fraction rule:

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

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

Cancel

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

= \frac{a}{b}

(1 + 2 \frac{i}{n} - \frac{2}{n} - 2)^{3}

x^{3} + x - 3 x^{2} - 3

5 q + 5 q

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

(x + 5)^{3} + (x - 5)^{3}