Question

simplify the expression $9x^3 - 4x^2 + 3x + 2x^3 - 6x + 5$.
a. $9x^3 - 4x^2 - 9x + 5$
b. $11x^3 + 4x^2 + 3x + 5$
c. $7x^3 - 4x^2 + 9x + 5$
d. $11x^3 - 4x^2 - 3x + 5$

Explanation:

Step1: Combine $x^3$ terms

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

Step2: Keep $x^2$ term unchanged

$-4x^2$

Step3: Combine $x$ terms

$3x - 6x = -3x$

Step4: Keep constant term unchanged

$+5$

Step5: Assemble simplified expression

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

Answer:

d. $11x^{3}-4x^{2}-3x+5$