Question

In the following exercises, factors completely:

$100-a^2$.

Short answer

The factors for the expression is,$(10-a)(10+a)$.

Step-by-step solution

Step 1. Given Information.

The expression is,

$100-a^2$.

Step 2. Factor completely.

Using $a^2-b^2=(a+b)(a-b)$,

$100-a^2={\left(10\right)}^2-{\left(a\right)}^2$

$=(10+a)(10-a)$.