Solve 2a^3-a^2b/36b^2 / 2a-b/9b^3

Evaluate

2 a^{3} - a^{2} \times \frac{b}{36} \times \frac{b ^{2}}{2} a - \frac{b}{9} b^{3}

Multiply

More Steps

2 a^{3} - \frac{a ^{3} b ^{3}}{72} - \frac{b}{9} b^{3}

Multiply the terms

More Steps

2 a^{3} - \frac{a ^{3} b ^{3}}{72} - \frac{b ^{4}}{9}

Reduce fractions to a common denominator

\frac{2 a ^{3} \times 72}{72} - \frac{a ^{3} b ^{3}}{72} - \frac{b ^{4} \times 8}{9 \times 8}

Multiply the numbers

\frac{2 a ^{3} \times 72}{72} - \frac{a ^{3} b ^{3}}{72} - \frac{b ^{4} \times 8}{72}

Write all numerators above the common denominator

\frac{2 a ^{3} \times 72 - a ^{3} b ^{3} - b ^{4} \times 8}{72}

Multiply the terms

\frac{144 a ^{3} - a ^{3} b ^{3} - b ^{4} \times 8}{72}

Solution

\frac{144 a ^{3} - a ^{3} b ^{3} - 8 b ^{4}}{72}

Simplify the expression