Question

Factor first, then simplify the factors: 2(x+4)(2x-1)^3 + 6(x+4)^2 (2x-1)^2

Answer 1

\[2(x+4)(2x-1)^3 + 6(x+4)^2(2x-1)^2 \]

Answer 2

How do I begin?

Answer 3

Notice that there are 2 (x+4) term and 2 (2x-1) terms

Answer 4

Or, if you REALLY need the solution, here it is. (WARNING: MAY NOT BE ACCURATE.)
2(x+4)(2x-1)^3 + 6(x+4)^2 (2x-1)^2
=2(x+4)(2x-1)^2((2x-1)+3(x+4))
=2(x+4)(2x-1)(2x-1+3x+12)
=2(x+4)(2x-1)(5x-11)

There you have it.

Answer 5

find HCF of 2 &6.
take the two factors (2x-1) and (x+4) along with their smallest power respectively.

Answer 6

Alright. Thank you!