Question

find the product of (3x − 4)(2x2 2x − 1). 6x3 2x2 − 5x 4 6x3 14x2 − 11x 4 6x3 − 14x2 − 5x 4 6x3 − 2x2 − 11x 4

Answer 1

The final product is

`6X^(3) - 14X^(2) + 5X + 4\\`

Explanation:

The given algebraic equation

`( 3X - 4) ( 2X^(2) - 2X -1)\\= 3X ( 2X^(2) - 2X -1) - 4( 2X^(2) - 2X -1)\\= 6X^(3) - 6X^(2) -3X - 8X^(2) + 8X +4\\= 6X^(3) - 14X^(2) + 5X + 4\\`

Answer 2

(3x - 4)(2x^2 + 2x - 1) = 3x(2x^2 + 2x - 1) - 4(2x^2 + 2x - 1) = (6x^3 + 6x^2 - 3x) - (8x^2 + 8x - 4) = 6x^3 + 6x^2 - 3x - 8x^2 - 8x + 4 = 6x^3 - 2x^2 - 11x + 4