Question

ajudinha por favor !!!!!!

Answer 1

$\frac{1+x}{x- x^{2} } = \frac{A}{x}+ \frac{B}{1-x}$

$\frac{1+x}{x- x^{2} } = \frac{A(1-x)+Bx}{x(1-x)}$

$\frac{1+x}{x- x^{2} } = \frac{A-Ax+Bx}{x- x^{2} }$

$1+x = A-Ax+Bx$

$1+x = A+(B-A)x$

$A+(B-A)x= 1+1.x$

$A= 1$

$B-A=1$

$B=1+A$

$B=1+1=2$

A= 1  e B = 2