How do you factor the difference of two perfect squares: #(x+7)^2-25#?
1 Answer
Nov 22, 2016
Explanation:
The difference of squares identity can be written:
#a^2-b^2 = (a-b)(a+b)#
Hence we find:
#(x+7)^2-25 = (x+7)^2-5^2#
#color(white)((x+7)^2-25) = ((x+7)-5)((x+7)+5)#
#color(white)((x+7)^2-25) = (x+2)(x+12)#
