Question

what is the result of $(-2x^3 + 3x - 1) + (4x^3 - 5x + 2)$?
a. $2x^3 - 2x + 1$
b. $2x^3 - 2x - 1$
c. $6x^3 - 8x + 3$
d. $2x^3 - 8x + 1$

Explanation:

Step1: Remove parentheses

$(-2x^3 + 3x - 1) + (4x^3 - 5x + 2) = -2x^3 + 3x - 1 + 4x^3 - 5x + 2$

Step2: Combine like terms for $x^3$

$-2x^3 + 4x^3 = 2x^3$

Step3: Combine like terms for $x$

$3x - 5x = -2x$

Step4: Combine constant terms

$-1 + 2 = 1$

Step5: Assemble the final polynomial

$2x^3 - 2x + 1$

Answer:

a. $2x^3 - 2x + 1$