How do you factor #(a+b)^2-4b^2#?
1 Answer
Jan 4, 2016
Use the difference of squares identity to find:
#(a+b)^2-4b^2 = (a-b)(a+3b)#
Explanation:
The difference of squares identity can be written:
#A^2-B^2=(A-B)(A+B)#
Use this with
#(a+b)^2-4b^2#
#=(a+b)^2-(2b)^2#
#=((a+b)-2b)((a+b)+2b)#
#=(a-b)(a+3b)#
