Alan G. answered • 05/23/16

Successful at helping students improve in math!

Miquela,

What you need to do is reduce the expression, then multiply the numerator and denominator out.

f(x) = (x+1)(x)(x+3)/[(x+2)(x)(x)(x)]

Notice that there is a FACTOR of x in front and after the /. That means you can cancel both off. This leaves:

f(x) = (x+1)(x+3)/[(x+2)x

^{2}](Note that I wrote (x)(x) as x

^{2}, since that is what x^{2}means.Now, you can just multiply the numerator and denominator out:

(x+1)(x+3) = x

^{2}+ 4x + 3and

(x+2)x

^{2}= x^{3}+ 2x^{2}.Putting this together,

f(x) = (x

^{2}+ 4x + 3)(x^{3}+ 2x^{2}).Since you already crossed off all of the common factors, this should be the final, simplified answer.

Let me know if this works out for you.