SOLUTION: Hello, Here's my problem: Find the product. (4m+2n)^2 I can see the answer in my book is: 16m^2+16mn+4n^2 My dilemma is the middle term. I don't understand the process of

If you need immediate math help from PAID TUTORS right now, click here. (paid link)
Click here to see ALL problems on Polynomials-and-rational-expressions

Question 424645: Hello,
Here's my problem:
Find the product. (4m+2n)^2
I can see the answer in my book is: 16m^2+16mn+4n^2
My dilemma is the middle term. I don't understand the process of determining the middle term. Can you help me please?
Thanks,
Mariah
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(30993) (Show Source):
You can put this solution on YOUR website!
Find the product. (4m+2n)^2
= (4m+2n)*(4m+2n)
= 4m*(4m+2n) + 2n(4m+2n)
=
=
--------------------------

a = 4m, b = 2n

Answer by stanbon(57347) (Show Source):
You can put this solution on YOUR website!
Find the product. (4m+2n)^2
--------------------------------
(4m+2n)(4m+2n)
Use FOIL:
F: 16m^2
O: 8mn
I: 8mn
L: 4n^2
-----------------
Combine to get:
16m^2+16mn+4n^2
===================
Cheers,
Stan H.
==========