Question

subtract (6x^3 - 2x + 5) from (8x^3 + 4x - 3).
a. (2x^3 + 2x - 8)
b. (14x^3 + 2x + 2)
c. (2x^3 + 6x - 8)
d. (2x^3 + 6x + 8)

Explanation:

Step1: Set up the subtraction

$(8x^3 + 4x - 3) - (6x^3 - 2x + 5)$

Step2: Distribute the negative sign

$8x^3 + 4x - 3 - 6x^3 + 2x - 5$

Step3: Combine like terms

$(8x^3 - 6x^3) + (4x + 2x) + (-3 - 5)$

Step4: Simplify each term group

$2x^3 + 6x - 8$

Answer:

c. $2x^3 + 6x - 8$