Question

1. subtract $6x^3 - 2x + 5$ from $8x^3 + 4x - 3$.

a. $2x^3 + 2x - 8$
b. $2x^3 + 6x + 8$
c. $2x^3 + 6x - 8$
d. $14x^3 + 2x + 2$

Explanation:

Step1: Set up subtraction expression

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

Step2: Distribute the negative sign

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

Step3: Combine like terms for $x^3$

$8x^3 - 6x^3 = 2x^3$

Step4: Combine like terms for $x$

$4x + 2x = 6x$

Step5: Combine constant terms

$-3 - 5 = -8$

Step6: Combine all simplified terms

$2x^3 + 6x - 8$

Answer:

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