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

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> 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      Log On

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 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, MariahFound 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. ==========