Question

Find the product of:

Answer 1

Answer:

$6x^3-2x^2-11x+4$

Step-by-step explanation:

Given expression:

$(3x-4)(2x^2+2x-1)$

Distribute the parentheses:

$\implies 3x(2x^2+2x-1)-4(2x^2+2x-1)$

$\implies 3x \cdot 2x^2+3x \cdot 2x +3x \cdot -1 -4 \cdot 2x^2-4 \cdot 2x-4 \cdot -1$

$\implies 6x^3+6x^2 -3x -8x^2-8x+4$

Collect like terms:

$\implies 6x^3+6x^2-8x^2 -3x -8x+4$

Combine like terms:

$\implies 6x^3-2x^2-11x+4$

Answer 2

Answer:

6x^3 -2x^2-11x + 4

Step-by-step explanation:

(3x - 4)(2x^2 + 2x - 1)

(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^2-8x^2] [- 3x- 8x] + 4

6x^3 -2x^2-11x + 4