Question

Choose the correct simplification of (4x - 3)(3x^2 - 4x - 3).

A) 12x^3 + 25x^2 + 9
B) 12x^3 - 25x^2 - 9
C) 12x^3 + 25x^2 - 9
D) 12x^3 - 25x^2 + 9

Answer 1

`(4x - 3)(3 {x}^(2) - 4x - 3)`
We can use a Punnett Square to FOIL this (picture attached).

From this, we find that is equals

`12 {x}^(3) - 16 {x}^(2) - 12x \\ - 9 {x}^(2) + 12x + 9`
We can simplify this to equal

`12 {x}^(3) - 25 {x}^(2) + 9`
This is answer D.