Answer:
[tex]6x^3-2x^2-11x+4[/tex]
Step-by-step explanation:
Given expression:
[tex](3x-4)(2x^2+2x-1)[/tex]
Distribute the parentheses:
[tex]\implies 3x(2x^2+2x-1)-4(2x^2+2x-1)[/tex]
[tex]\implies 3x \cdot 2x^2+3x \cdot 2x +3x \cdot -1 -4 \cdot 2x^2-4 \cdot 2x-4 \cdot -1[/tex]
[tex]\implies 6x^3+6x^2 -3x -8x^2-8x+4[/tex]
Collect like terms:
[tex]\implies 6x^3+6x^2-8x^2 -3x -8x+4[/tex]
Combine like terms:
[tex]\implies 6x^3-2x^2-11x+4[/tex]
