Question #c5cab

1 Answer
mason m
Sep 4, 2017

#(a+3ab+2b)(a-3ab)#

Explanation:

#(a+b)^2-(3ab+b)^2#

Recall the general difference of squares factorization technique: #color(red)x^2-color(blue)y^2=(color(red)x+color(blue)y)(color(red)x-color(blue)y)#.

Thus:

#color(red)((a+b))^2-color(blue)((3ab+b))^2=(color(red)(a+b)+color(blue)(3ab+b))(color(red)(a+b)-color(blue)((3ab+b)))#

Clean up within the parentheses:

#=(a+3ab+2b)(a-3ab)#

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