How do you simplify the expression ((r^2-9r)/(r^2+7r+10))/((r^2+5r)/(r^2+r-2))r29rr2+7r+10r2+5rr2+r2?

2 Answers
Apr 10, 2017

((r-9))/((r+5))*((r-1))/((r+5))(r9)(r+5)(r1)(r+5)

Explanation:

((r(r-9))/((r+5)(r+2)))/((r(r+5))/((r-1)(r+2))r(r9)(r+5)(r+2)r(r+5)(r1)(r+2)

(r(r-9))/((r+5)(r+2))*((r-1)(r+2))/(r(r+5))r(r9)(r+5)(r+2)(r1)(r+2)r(r+5)

((r-9))/((r+5))*((r-1))/((r+5))(r9)(r+5)(r1)(r+5)

If you want you can multiply this .. it's your turn

Apr 10, 2017

color(red)(((r-9)(r-1))/((r+5)(r+5))(r9)(r1)(r+5)(r+5)

Explanation:

((r^2-9r)/(r^2+7r+10))/((r^2+5r)/(r^2+r-2)r29rr2+7r+10r2+5rr2+r2

:.=((r^2-9r)/1 xx 1/(r^2+7r+10))-:((r^2+5r)/1 xx 1/(r^2+r-2))

:.=(r(r-9))/((r+2)(r+5))-:(r(r+5))/((r-1)(r+2))

:.=(r(r-9))/(cancel((r+2))(r+5)) xx ((r-1)cancel((r+2)))/(r(r+5))

:.=(cancelr(r-9))/(r+5) xx ((r-1))/(cancelr(r+5)

:.=color(red)(((r-9)(r-1))/((r+5)(r+5))