Question

add.
$(1 + 7x^3 - x^2) + (x^3 + 2 + 2x^2)$
express the answer in standard form.
enter your answer in the box.

Explanation:

Step1: Remove parentheses

We have \((1 + 7x^{3}-x^{2})+(x^{3}+2 + 2x^{2})\). Removing the parentheses gives \(1 + 7x^{3}-x^{2}+x^{3}+2 + 2x^{2}\).

Step2: Combine like terms

• For the \(x^{3}\) terms: \(7x^{3}+x^{3}=8x^{3}\)
• For the \(x^{2}\) terms: \(-x^{2}+2x^{2}=x^{2}\)
• For the constant terms: \(1 + 2=3\)

Step3: Write in standard form

Standard form of a polynomial is in descending order of exponents. So we combine the results from step 2 to get \(8x^{3}+x^{2}+3\).

Answer:

\(8x^{3}+x^{2}+3\)