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

May 13, 2018

${a}^{2} {b}^{2} - {d}^{2} = \left(a b + d\right) \left(a b - d\right)$

#### Explanation:

Here in ${a}^{2} {b}^{2} - {d}^{2}$ is a binomial

formed by difference of two squares ${\left(a b\right)}^{2}$ and ${d}^{2}$

to factorize we can use here ${x}^{2} - {y}^{2} = \left(x + y\right) \left(x - y\right)$

Hence ${a}^{2} {b}^{2} - {d}^{2} = {\left(a b\right)}^{2} - {d}^{2}$

= $\left(a b + d\right) \left(a b - d\right)$