SOLUTION: expess in lowest terma 1. y^2-y-12/y^2-9 2. 3x^2-6x-72/2x^3-8x-64 3. u^2+16u+63/u+7 * 1/u+9 I had 30 problems to I cant understand the last 3. Could someone help

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: expess in lowest terma 1. y^2-y-12/y^2-9 2. 3x^2-6x-72/2x^3-8x-64 3. u^2+16u+63/u+7 * 1/u+9 I had 30 problems to I cant understand the last 3. Could someone help       Log On


   

Question 155256: expess in lowest terma
1. y^2-y-12/y^2-9
2. 3x^2-6x-72/2x^3-8x-64
3. u^2+16u+63/u+7 * 1/u+9
I had 30 problems to I cant understand the last 3. Could someone help me please.
Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first two to get you started

# 1

%28y%5E2-y-12%29%2F%28y%5E2-9%29 Start with the given expression


%28%28y%2B3%29%28y-4%29%29%2F%28y%5E2-9%29 Factor the numerator


%28%28y%2B3%29%28y-4%29%29%2F%28%28y%2B3%29%28y-3%29%29 Factor the denominator


%28highlight%28%28y%2B3%29%29%28y-4%29%29%2F%28highlight%28%28y%2B3%29%29%28y-3%29%29 Highlight the common terms


%28cross%28%28y%2B3%29%29%28y-4%29%29%2F%28cross%28%28y%2B3%29%29%28y-3%29%29 Cancel out the common terms


%28y-4%29%2F%28y-3%29 Simplify


So %28y%5E2-y-12%29%2F%28y%5E2-9%29 simplifies to %28y-4%29%2F%28y-3%29




# 2

Are you sure that the denominator is not 2x%5E2-8x-64?


%283x%5E2-6x-72%29%2F%282x%5E2-8x-64%29 Start with the given expression


%283%28x-6%29%28x%2B4%29%29%2F%282x%5E2-8x-64%29 Factor the numerator


%283%28x-6%29%28x%2B4%29%29%2F%282%28x-8%29%28x%2B4%29%29 Factor the denominator


%283%28x-6%29highlight%28%28x%2B4%29%29%29%2F%282%28x-8%29highlight%28%28x%2B4%29%29%29 Highlight the common terms


%283%28x-6%29cross%28%28x%2B4%29%29%29%2F%282%28x-8%29cross%28%28x%2B4%29%29%29 Cancel out the common terms


%283%28x-6%29%29%2F%282%28x-8%29%29 Simplify


%283x-18%29%2F%282x-16%29 Distribute


So %283x%5E2-6x-72%29%2F%282x%5E2-8x-64%29 simplifies to %283x-18%29%2F%282x-16%29

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Express in lowest terms:
Factor the numerators and the denominators:
1) Cancel as indicated to get:
%28y-4%29%2F%28y-3%29
-----------------
2) %283x%5E2-6x-72%29%2F%282x%5E2-8x-64%29+=+3%28x%5E2-2x-24%29%2F2%28x%5E2-4x-32%29=
-----------------
3) =