How do you multiply ((t+2)^3/(t+1)^3*(t^2+2t+1)/(t^2+4t+4)*(t+1)/(t+2)) ?

1 Answer
Apr 13, 2018

1

Explanation:

First, we start by factoring (t^2+2t+1)/(t^2+4t+4)

((t+1)^2)/(t^2+4t+4) Factoring the numerator first.

((t+1)^2)/((t+2)^2) Then factoring the denominator.

Now, it is easy to multiply:

(t+1)^2/(t+2)^2*(t+1)/(t+2) = (t+1)^3/(t+2)^3

Finally, we can multiply

(t+1)^3/(t+2)^3*(t+2)^3/(t+1)^3 = ((t+1)^3*(t+2)^3)/((t+1)^3*(t+2)^3) = 1/1 = 1