Solve a^2/b-1 : a^3/2b-2

Evaluate

\frac{a ^{2}}{b} - 1 \div (\frac{a ^{3}}{2} b) - 2

Multiply the terms

\frac{a ^{2}}{b} - 1 \div \frac{a ^{3} b}{2} - 2

Divide the terms

More Steps

\frac{a ^{2}}{b} - \frac{2}{a ^{3} b} - 2

Reduce fractions to a common denominator

\frac{a ^{2} \times a ^{3}}{b a ^{3}} - \frac{2}{a ^{3} b} - \frac{2 b a ^{3}}{b a ^{3}}

Rewrite the expression

\frac{a ^{2} \times a ^{3}}{a ^{3} b} - \frac{2}{a ^{3} b} - \frac{2 b a ^{3}}{a ^{3} b}

Write all numerators above the common denominator

\frac{a ^{2} \times a ^{3} - 2 - 2 b a ^{3}}{a ^{3} b}

Solution

More Steps

\frac{a ^{5} - 2 - 2 b a ^{3}}{a ^{3} b}

Simplify the expression