SOLUTION: Find each of the following squares. (7p + 6q)^2 I need your help. Thank you.

Question 27570: Find each of the following squares.
(7p + 6q)^2
I need your help.
Thank you.
Answer by sdmmadam@yahoo.com(530) (Show Source): You can put this solution on YOUR website!
(7p + 6q)^2
This is of the form (m + n )^2 whose expansion is :
(m + n )^2 = m^2 + 2XmXn + n^2 ----(*)
The formula * can be remembered in textual form as
The square of the sum of two quantities is equal to first term squared plus 2 times the product of the first term and the second term plus second term squared.
That is
[(first term)+(second term)]^2
= (first term) ^2 + 2X(first term)X(second term)+ (second term)^2
Using the above formula(here m = 7p and n = 6q)
(7p + 6q)^2 = (7p)^2 + 2X(7p)X(6q) + (6q)^2
= 7^2p^2 + (2X7X6)(pq) + 6^2q^2
= 49p^2 + 84pq + 36q^2

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