Question

Which of the following expressions are equivalent to 48a^3—75a select all that apply

Answer 1

To shorten the person above me's answer its B and F.

Explanation:

Answer 2

`3a(16a^2-25)`

`3a(4a-5)(4a+5)`

Explanation:

The equation
`48a^3-75a` is factorable using GCF and difference of squares.

First, we factor 3a from each term.

`3a(16a^2-25)`

The term in the parenthesis
`{16a^2-25)` has the form
`a^2-b^2 = (a-b)(a+b)` which factors into two terms where a and b are the squares root of their respective terms.

`3a(16a^2-25)\\3a(4a-5)(4a+5)`