Question

1. $(k^3 + 8k^4) - (4k^3 - 6k^4)$

a) $14k^4 - 3k^3$ b) $12k^4$
c) $14k^4 - 6k^3$ d) $12k^4$

Explanation:

Step1: Remove parentheses

\(k^3 + 8k^4 - 4k^3 + 6k^4\)

Step2: Combine like terms for \(k^4\)

\(8k^4 + 6k^4 = 14k^4\)

Step3: Combine like terms for \(k^3\)

\(k^3 - 4k^3 = -3k^3\)

Step4: Combine results

\(14k^4 - 3k^3\)

Answer:

A) \(14k^4 - 3k^3\)