Question

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

A.) 3(48^3-75a)
B.) 3a(16a^2-25)
C.) 3a(4a+5)(4a+5)
D.)3a(4a+5)(4a-5)
E.)-3a(25-26a^2)
F.) -3a(5-4a)(5+4a)

Answer 1

48a^3 -75a = 3a(16a^2 -25) . . . . the latter factor is the difference of squares
= 3a(4a -5)(4a +5)

The equivalents are ...
B.) 3a(16a^2-25)
D.) 3a(4a+5)(4a-5)
E.) -3a(25-16a^2)
F.) -3a(5-4a)(5+4a)

_____
We assume the problem and answer set contain a couple of typos. If the problem is intended as written, then none of the offered choices is equivalent. If answer choice E.) is written here as intended, then it is NOT equivalent.