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

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Problemes similars de la cerca web

https://socratic.org/questions/what-is-the-equation-of-the-line-normal-to-f-x-2-x-1-2-2x-4-at-x-2-1

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https://socratic.org/questions/how-do-you-evaluate-the-function-f-x-2-3x-2-x-5-for-f-6

Copiat al porta-retalls

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

Per afegir o restar les expressions, amplieu-les perquè els denominadors coincideixin. Multipliqueu 2 per \frac{\left(2x-1\right)^{2}}{\left(2x-1\right)^{2}}.

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

Com que \frac{-2}{\left(2x-1\right)^{2}} i \frac{2\left(2x-1\right)^{2}}{\left(2x-1\right)^{2}} tenen el mateix denominador, resteu-los mitjançant la subtracció dels seus numeradors.

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

Feu les multiplicacions a -2-2\left(2x-1\right)^{2}.

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

Combineu els termes similars de -2-8x^{2}+8x-2.

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

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