Question

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

Answer 1

Answer:

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

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

Step-by-step 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.

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