Question

How do you factor `169a^2b^2-16c^ 4`?

Answer 1

`(13ab+4c^2)(13ab-4c^2)`

Explanation:

To factor `169a^2b^2-16c^4` we must first recognize that this is the difference (subtraction) of two perfect squares.

`169a^2b^2 = (13ab)(13ab)`
`16c^4=(4c^2)(4c^2)`

When we factors the difference of two squares the binomials always have one `+` and one `-`.

`(13ab+4c^2)(13ab-4c^2)`