Question

Divide 1-x2 / x(1-2x)

Answer 1

Your ans:
1-X^2÷X(1-2X)
= -(2X - 1)(X + 1)

Answer 2

Divide 1-x2 / x(1-2x)

Given,

1-x2 / x(1-2x)

⇒

$\dfrac{1-x^2}{x(1-2x)}$

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

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

$=\dfrac{1}{2}+\dfrac{-x+2}{2\left(-2x^2+x\right)}$

$\therefore \dfrac{1-x^2}{x(1-2x)}=\dfrac{1}{2}+\dfrac{-x+2}{2\left(-2x^2+x\right)}$