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

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

Para sumar ou restar expresións, expándeas para facer que os seus denominadores sexan iguais. O mínimo común múltiplo de \left(x+1\right)^{2} e x+1 é \left(x+1\right)^{2}. Multiplica \frac{2}{x+1} por \frac{x+1}{x+1}.

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

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

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

Fai as multiplicacións en x+2\left(x+1\right).

\frac{3x+2}{\left(x+1\right)^{2}}

Combina como termos en x+2x+2.

\frac{3x+2}{x^{2}+2x+1}

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