Solve ( 3/4 p^(7)- 2/5 q^(4))( 3/4 p^(7) 2/5 q^(4))

Evaluate

(\frac{3}{4} p^{7} - \frac{2}{5} q^{4}) (\frac{3}{4} p^{7} \times \frac{2}{5} q^{4})

Remove the parentheses

(\frac{3}{4} p^{7} - \frac{2}{5} q^{4}) \times \frac{3}{4} p^{7} \times \frac{2}{5} q^{4}

Multiply the terms

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(\frac{3}{4} p^{7} - \frac{2}{5} q^{4}) \times \frac{3}{10} p^{7} q^{4}

Multiply the terms

\frac{3}{10} p^{7} q^{4} (\frac{3}{4} p^{7} - \frac{2}{5} q^{4})

Apply the distributive property

\frac{3}{10} p^{7} q^{4} \times \frac{3}{4} p^{7} - \frac{3}{10} p^{7} q^{4} \times \frac{2}{5} q^{4}

Multiply the terms

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\frac{9}{40} p^{14} q^{4} - \frac{3}{10} p^{7} q^{4} \times \frac{2}{5} q^{4}

Solution

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\frac{9}{40} p^{14} q^{4} - \frac{3}{25} p^{7} q^{8}

Simplify the expression