Solve f(x)=2/(5x+7)^3-2/(5x+7)^2 | Microsoft Math Solver

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\frac{2}{\left(5x+7\right)^{3}}-\frac{2\left(5x+7\right)}{\left(5x+7\right)^{3}}

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of \left(5x+7\right)^{3} and \left(5x+7\right)^{2} is \left(5x+7\right)^{3}. Multiply \frac{2}{\left(5x+7\right)^{2}} times \frac{5x+7}{5x+7}.

\frac{2-2\left(5x+7\right)}{\left(5x+7\right)^{3}}

Since \frac{2}{\left(5x+7\right)^{3}} and \frac{2\left(5x+7\right)}{\left(5x+7\right)^{3}} have the same denominator, subtract them by subtracting their numerators.

\frac{2-10x-14}{\left(5x+7\right)^{3}}

Do the multiplications in 2-2\left(5x+7\right).

\frac{-12-10x}{\left(5x+7\right)^{3}}

Combine like terms in 2-10x-14.

\frac{-12-10x}{125x^{3}+525x^{2}+735x+343}

Expand \left(5x+7\right)^{3}.