SOLUTION: How is (2a+4)(a-3)-(2a+4)(2a-1)completely factored to get -2(a+2)(a+2)as the answer?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How is (2a+4)(a-3)-(2a+4)(2a-1)completely factored to get -2(a+2)(a+2)as the answer?      Log On


   

Question 9697: How is (2a+4)(a-3)-(2a+4)(2a-1)completely factored to get -2(a+2)(a+2)as the answer?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
%282a%2B4%29%28a-3%29-%282a%2B4%29%282a-1%29 Notice the common factor in the two terms? Factor it out>
%282a%2B4%29%28%28a-3%29-%282a-1%29%29 Now simplify.
2%28a%2B2%29%28-a-2%29 Rewrite (-a-2) as -(a+2) and move the negative sign to the front.
-2%28a%2B2%29%28a%2B2%29