Solve f(x)=-2/(2x-1)^2-2 | Microsoft Math Solver

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\frac{-2}{\left(2x-1\right)^{2}}-\frac{2\left(2x-1\right)^{2}}{\left(2x-1\right)^{2}}

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{\left(2x-1\right)^{2}}{\left(2x-1\right)^{2}}.

\frac{-2-2\left(2x-1\right)^{2}}{\left(2x-1\right)^{2}}

Since \frac{-2}{\left(2x-1\right)^{2}} and \frac{2\left(2x-1\right)^{2}}{\left(2x-1\right)^{2}} have the same denominator, subtract them by subtracting their numerators.

\frac{-2-8x^{2}+8x-2}{\left(2x-1\right)^{2}}

Do the multiplications in -2-2\left(2x-1\right)^{2}.

\frac{-4-8x^{2}+8x}{\left(2x-1\right)^{2}}

Combine like terms in -2-8x^{2}+8x-2.

\frac{-4-8x^{2}+8x}{4x^{2}-4x+1}

Expand \left(2x-1\right)^{2}.