How do you simplify #2(k+1)^3+3(k+1)^2+k+1#?

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How do you simplify #2(k+1)^3+3(k+1)^2+k+1#?

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Answer 1 · 2016-06-19T10:39:18

#(k+1)(2k+3)(k+2)#

Explanation:

Let #k+1=x#
So #2(k+1)^3+3(k+1)^2+(k+1)#
=#2x^3+3x^2+x#
=#x(2x^2+3x+1)#
Use {cross product method}
It ca be factored as
=#x(2x+1)(x+1)#
Back!!
=#(k+1)(2k+3)(k+2)#

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How do you simplify #2(k+1)^3+3(k+1)^2+k+1#?

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