SOLUTION: Factor 12(x-y)to the fourth(x+Y)squared+24(x-y)cubed(x+y)squared

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Factor 12(x-y)to the fourth(x+Y)squared+24(x-y)cubed(x+y)squared      Log On


   

Question 143558: Factor
12(x-y)to the fourth(x+Y)squared+24(x-y)cubed(x+y)squared
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
12%28x-y%29%5E4%28x%2By%29%5E2%2B24%28x-y%29%5E3%28x%2By%29%5E2


Let u=x-y and v=x%2By


12u%5E4v%5E2%2B24u%5E3v%5E2


12u%5E3v%5E2%28u%2B2%29 Factor out the GCF 12u%5E3v%5E2



12%28x-y%29%5E3%28x%2By%29%5E2%28%28x-y%29%2B2%29 Replace each "u" with x-y and each "v" with x%2By


12%28x-y%29%5E3%28x%2By%29%5E2%28x-y%2B2%29 Simplify



So 12%28x-y%29%5E4%28x%2By%29%5E2%2B24%28x-y%29%5E3%28x%2By%29%5E2 factors 12%28x-y%29%5E3%28x%2By%29%5E2%28x-y%2B2%29