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

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Copiado a portapapeis

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

Para sumar ou restar expresións, expándeas para facer que os seus denominadores sexan iguais. Multiplica 2 por \frac{\left(2x-1\right)^{2}}{\left(2x-1\right)^{2}}.

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

Dado que \frac{-2}{\left(2x-1\right)^{2}} e \frac{2\left(2x-1\right)^{2}}{\left(2x-1\right)^{2}} teñen o mesmo denominador, réstaos mediante a resta dos seus numeradores.

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

Fai as multiplicacións en -2-2\left(2x-1\right)^{2}.

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

Combina como termos en -2-8x^{2}+8x-2.

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

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