SOLUTION: Find each of the following squares. {{{(7p + 6q)^2}}} I don't understand this. Please help. Thank you.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find each of the following squares. {{{(7p + 6q)^2}}} I don't understand this. Please help. Thank you.      Log On


   

Question 27664: Find each of the following squares.
%287p+%2B+6q%29%5E2
I don't understand this. Please help.
Thank you.
Found 2 solutions by wuwei96815, mbarugel:
Answer by wuwei96815(245) About Me  (Show Source):
You can put this solution on YOUR website!
(7p + 6q)^2 = (7p + 6q)(7p + 6q) = 49p^2 + 42qp + 42qp + 36q^2 = 49p^2 + 84qp + 36q^2

Answer by mbarugel(146) About Me  (Show Source):
You can put this solution on YOUR website!
We have
%287p+%2B+6q%29%5E2
The general formula is that:
%28a%2Bb%29%5E2+=+a%5E2+%2B+2%2Aa%2Ab+%2B+b%5E2
So here this becomes:
%287p+%2B+6q%29%5E2+=+%287p%29%5E2+%2B+2%2A7p%2A6q+%2B+%286q%29%5E2
And this is equal to: