Question

Which of the following expressions are equivalent to 48^3-75a? Select all that apply.

Answer 1

$48a^3-75a=3a\cdot16a^2-3a\cdot25=\underbrace{3a(16a^2-25)}_{B.)}\\\\=3a\left[(4a)^2-5^2\right]=\underbrace{3a(4a-5)(4a+5)}_{D.)}=\underbrace{-3a(5-4a)(5+4a)}_{F.)}$