How do you factor the difference of two perfect squares: #(x+7)^2-x^2#?

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Answer 1 · 2016-11-22T01:31:13

We let #x + 7# be #a# and #x# be #b#.

#=>a^2 - b^2#

#=>(a + b)(a - b)#

#=>(x + 7 + x)(x + 7 - x)#

#=>(2x + 7)7#

#=> 7(2x + 7)#

Hopefully this helps!