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

2 Answers
Jun 12, 2018

(x+10)*(x-10)

Explanation:

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)

Jun 12, 2018

(x-10)(x+10)

Explanation:

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)