Question

How do you factor `24s ^ { 2} - 150`?

Answer 1

`6(4s^2 - 25)`

Explanation:

We can rewrite this expression as:

`(color(red)(2) xx 2 xx 2 xx color(red)(3) xx s xx s) - (color(red)(2) xx color(red)(3) xx 5 xx 5)`

We can factor out the common terms of `color(red)(2 xx 3)`

`color(red)(2 x 3)((2 xx 2 xx s xx s) - (5 xx 5))`

Combining the factored terms back together gives:

`6(4s^2 - 25)`