Question

Explain how to do this please . . .
Factor the GCF and then factor the resulting binomial: 50x3 - 128x
A. 2x(5x + 8)(5x - 8)
B. 2x(5x + 64)(5x - 64)
C. x(25x + 64)(25x - 64)
D. 5x(2x + 8)(2x - 8)

Answer 1

a

Answer 2

alexis, first take out whatever is common.. here 2x is common so take it out like:
(2x)(25x^2 - 64)

now the part between the brackets, you will notice it is in the form of of (a^2-b^2) which equals (a+b)(a-b).

so it becomes

2x((5x)^2 - 8^2)

=2x(5x+8)(5x-8)

and that is A. so i hope you understood it?? okay with the concept?