Question

How do you factor `24a^2 - 150b^2`?

Answer 1

`24a^2-150b^2=6(2a+5b)(2a-5b)`

Explanation:

`24a^2-150b^2`

Factor out the GCF `6`.

`6(4a^2-25b^2)`

`(4a^2-25b^2)` fits the difference of squares, `a^2-b^2=(a+b)(a-b)`, where `a=2a and b=5b`.

`6((2a)^2-(5b)^2)=6(2a+5b)(2a-5b)`