Solve a^2-25/a^3 * 1/a^2 5a - a^5/a^2-3a

Evaluate

a^{2} - \frac{25}{a ^{3}} \times \frac{1}{a ^{2}} \times 5 a - \frac{a ^{5}}{a ^{2}} - 3 a

Divide the terms

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a^{2} - \frac{25}{a ^{3}} \times \frac{1}{a ^{2}} \times 5 a - a^{3} - 3 a

Multiply the terms

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a^{2} - \frac{125}{a ^{4}} - a^{3} - 3 a

Reduce fractions to a common denominator

\frac{a ^{2} \times a ^{4}}{a ^{4}} - \frac{125}{a ^{4}} - \frac{a ^{3} \times a ^{4}}{a ^{4}} - \frac{3 a \times a ^{4}}{a ^{4}}

Write all numerators above the common denominator

\frac{a ^{2} \times a ^{4} - 125 - a ^{3} \times a ^{4} - 3 a \times a ^{4}}{a ^{4}}

Multiply the terms

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\frac{a ^{6} - 125 - a ^{3} \times a ^{4} - 3 a \times a ^{4}}{a ^{4}}

Multiply the terms

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\frac{a ^{6} - 125 - a ^{7} - 3 a \times a ^{4}}{a ^{4}}

Solution

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\frac{a ^{6} - 125 - a ^{7} - 3 a ^{5}}{a ^{4}}

Simplify the expression