How do you simplify (x-3)/(-x^3+3x^2)*(x^2+2x+1)?

2 Answers

-1 - frac{2x + 1}{x^2}

Explanation:

frac{x - 3}{(-x + 3) x^2} * (x^2 + 2x + 1)

= - frac{1}{x^2} * (x^2 + 2x + 1)

= -1 + frac{-2x - 1}{x^2}

May 24, 2017

(-x^2-2x-1)/x^2

Explanation:

(x-3)/(-x^3+3x^2)*x^2+2x+1

:.=cancel(x-3)^1/(-x^2cancel((x-3)^1))*x^2+2x+1

:.=1/(-x^2)*x^2+2x+1

:.=(x^2+2x+1)/-x^2

:.=((x^2+2x+1)/-x^2)*(-x^2)/-x^2

:.=(-x^2)/(-x^2)=1

:.=(cancel(-x^2)^color(blue)(-1)(x^2+2x+1))/cancel(x^4)^color(blue)(x^2)

:.=(-1(x^2+2x+1))/x^2

:.=color(blue)((-x^2-2x-1)/x^2