Determine if x^2-100 is a difference of 2 squares, if so factor it. ?

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Answer 1 · 2018-06-12T09:40:48

#(x+10)*(x-10)#

We know that we can write #100# as #10^2#.
Therefore we get #x^2-10^2#.

And we apply our known rule :
#a^2-b^2 = (a+b)*(a-b)#

#x^2-10^2 = (x+10)*(x-10)#

Answer 2 · 2018-06-12T13:41:23

#(x-10)(x+10)#

Given: #x^2-100#.

We know that #100=10^2#. The equation becomes:

#=x^2-10^2#

The difference of squares rule states that: #a^2-b^2=(a-b)(a+b)#.

Here #a=x,b=10#. So we get:

#=(x-10)(x+10)#