Question

Choose the correct simplification of (4x − 3)(3x2 − 4x − 3).

12x3 + 25x2 + 9
12x3 − 25x2 − 9
12x3 + 25x2 − 9
12x3 − 25x2 + 9

Answer 1

`(4x - 3)(3x^2 - 4x - 3)`


`=4x\cdot \:3x^2+4x\left(-4x\right)+4x\left(-3\right)-3\cdot \:3x^2-3\left(-4x\right)-3\left(-3\right)`


`=4x\cdot \:3x^2-4x\cdot \:4x-4x\cdot \:3-3\cdot \:3x^2+3\cdot \:4x+3\cdot \:3`


`\mathrm{Simplify}\:4x\cdot \:3x^2-4x\cdot \:4x-4x\cdot \:3-3\cdot \:3x^2+3\cdot \:4x+3\cdot \:3:\quad 12x^3-25x^2+9`


`=12x^3-25x^2+9`