Question

1. simplify the expression $9x^3 - 4x^2 + 3x + 2x^3 - 6x + 5$.

a. $11x^3 + 4x^2 + 3x + 5$
b. $9x^3 - 4x^2 - 9x + 5$
c. $11x^3 - 4x^2 - 3x + 5$
d. $7x^3 - 4x^2 + 9x + 5

Explanation:

Step1: Group like terms

$(9x^3+2x^3) + (-4x^2) + (3x-6x) + 5$

Step2: Combine $x^3$ terms

$9x^3+2x^3=11x^3$

Step3: Combine $x$ terms

$3x-6x=-3x$

Step4: Assemble simplified expression

$11x^3 - 4x^2 - 3x + 5$

Answer:

c. $11x^3 - 4x^2 - 3x + 5$