Question

Galera me ajuda pfv.Não to conseguindo entender Frações algébricas

Ex: 2/x²-1 = 1/x+1 - 3/x-1

Answer 1

$\dfrac{2}{x^2-1}=\dfrac{1}{x+1}-\dfrac{3}{x-1}$

$\text{mmc}(x^2-1, x+1, x-1)=x^2-1$, pois $x^2-1=(x-1)\cdot(x+1)$.

$\dfrac{2}{x^2-1}=\dfrac{x-1}{x^2-1}-\dfrac{3\cdot(x+1)}{x^2-1}$

$2=x-1-3x-3$

$3x-x=-4-2$

$2x=-6$

$x=\dfrac{-6}{2}$

$x=-3$