Question

1. $(6x - x^3) + (x^2 + 8x^3)$

a) $7x^3 + 3x^2 + 6x$
b) $7x^3 + x^2 + 6x$
c) $7x^3 + 3x^2 + 5x$

Explanation:

Step1: Remove parentheses

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

Step2: Combine like terms for $x^3$

$-x^3 + 8x^3 = 7x^3$

Step3: Identify remaining terms

$x^2$ and $6x$ have no like terms

Step4: Write simplified expression

$7x^3 + x^2 + 6x$

Answer:

B) $7x^3 + x^2 + 6x$