Question

How do you multiply `(10w - 1)(10w + 1)`?

Answer 1

`=color(blue)( 100w^2 - 1`

Explanation:

`(10w - 1)(10w + 1)`

The expression is of the form:
`color(blue)( (a-b)(a+b) = a^2 - b^2`

Here `color(blue)(a=10w, b=1`

`= (10w - 1)(10w + 1)`
`= (10w)^2 - 1^2`

`=color(blue)( 100w^2 - 1`