Question

How do you factor `a^2b^2 - d^2`?

Answer 1

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

Explanation:

Here in `a^2b^2-d^2` is a binomial

formed by difference of two squares `(ab)^2` and `d^2`

to factorize we can use here `x^2-y^2=(x+y)(x-y)`

Hence `a^2b^2-d^2=(ab)^2-d^2`

= `(ab+d)(ab-d)`