SOLUTION: please help me to multiply these two problems i have been working on them four three days and i am mentally drained now i am really messing them up help please? 1. (-2x+3)^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: please help me to multiply these two problems i have been working on them four three days and i am mentally drained now i am really messing them up help please? 1. (-2x+3)^2      Log On


   

Question 81546: please help me to multiply these two problems i have been working on them four three days and i am mentally drained now i am really messing them up help please?
1. (-2x+3)^2
2. (x-4y)(x^2+4xy+16y^2)
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
1. (-2x+3)^2
(-2x+3)(-2x+3)
%284x%5E2-6x-6x%2B9%29 [use the FOIL method to multiply]
%284x%5E2-6x-6x%2B9%29 [combine like-terms]
%284x%5E2-12x%2B9%29
.
2. (x-4y)(x^2+4xy+16y^2)
%28%28x-4y%29%28x%5E2%2B4xy%2B16y%5E2%29%29
.
%28%28x%29%28x%5E2%2B4xy%2B16y%5E2%29-%284y%29%28x%5E2%2B4xy%2B16y%5E2%29%29
[multiply each term in the first expression by each and every term in the second expression]
.
%28x%5E3%2B4x%5E2y%2B16xy%5E2%29-4yx%5E2-16xy%5E2-64y%5E3%29%29
x%5E3%2B4x%5E2y%2B16xy%5E2-4yx%5E2-16xy%5E2-64y%5E3%29%29
x%5E3%2B0x%5E2y%2B0xy%5E2-64y%5E3%29%29 [combine like-terms]
x%5E3-64y%5E3%29%29