How Do You Factor By Grouping 4b^2+4bc+c^2-16? | Socratic

How do you factor by grouping #4b^2+4bc+c^2-16#? Algebra Polynomials and Factoring Factoring by Grouping

1 Answer

Alan P. Jun 23, 2015

#(2b+c+4)*(2b+c-4)#

Explanation:

#color(red)(4b^2+4bc+c^2) - color(blue)(16)# rewrite the frist 3 terms as a square #color(white)("XXXX")##color(red)((2b+c)^2) - color(blue)(4^2)# this is the difference of squares with a well-know factoring #color(white)("XXXX")##(2b+c+4)*(2b+c-4)#

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