Question

How do you factor `a^2-100`?

Answer 1

`(a+10)(a-10)`

Explanation:

this is done by difference of squares

`a^2-b^2=(a+b)(a-b)`

`a^2-100=a^2-10^2`

`=(a+10)(a-10)`

Answer 2

`(a-10)(a+10)`

Explanation:

`a^2-100" is a "color(blue)"difference of squares"`

`•color(white)(x)a^2-b^2=(a-b)(a+b)larrcolor(blue)"factored form"`

`"here "a=a" and "b=10`

`rArra^2-100=(a-10)(a+10)`