Question

1 fill in the blank 1 point simplify. write your answer in standard form. $(-5a^{3}-2a^{2})+(6a^{3}+9a^{2}+8a)$ note: type your answer as is. ex. 2x^3 - x^2 + x - 7 for $2x^{3}-x^{2}+x - 7$. do not use any spaces in your answer.

Explanation:

Step1: Combine like terms for \(a^3\)

\(-5a^3 + 6a^3 = (-5 + 6)a^3 = a^3\)

Step2: Combine like terms for \(a^2\)

\(-2a^2 + 9a^2 = (-2 + 9)a^2 = 7a^2\)

Step3: The term with \(a\) remains as is

The term \(8a\) has no like terms to combine with, so it stays \(8a\)

Step4: Combine all the simplified terms

Putting it all together, we get \(a^3 + 7a^2 + 8a\)

Answer:

\(a^3+7a^2+8a\)