In chapter 3 Review (3R) problem 10, how is it that you gofrom m^3+3m^2+3m+1=0 t

Question

In chapter 3 Review (3R) problem 10, how is it that you gofrom m^3+3m^2+3m+1=0 to m^2(m+3)3m+1=0 in step 2?? If I wereto expand this I'm sure most of us would get 3m^4+ 9m^3+1=0, right?Or has something changed in the universe while I was asleep? Thestep following that makes no sense either. In any event, couldsomeone please help me expand my narrow horizons and elaborateon this a little. Thanks! =) In chapter 3 Review (3R) problem 10, how is it that you gofrom m^3+3m^2+3m+1=0 to m^2(m+3)3m+1=0 in step 2?? If I wereto expand this I'm sure most of us would get 3m^4+ 9m^3+1=0, right?Or has something changed in the universe while I was asleep? Thestep following that makes no sense either. In any event, couldsomeone please help me expand my narrow horizons and elaborateon this a little. Thanks! =)

Explanation / Answer

m^3+3m^2+3m+1=0 = m^2(m+3) + 3m+1=0 Looks like somebody missed a plus sign.

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