Question

add.
(1 + 7x³ - x²) + (x³ + 2 + 2x²)
express the answer in standard form.
enter your answer in the box.

Explanation:

Step1: Remove parentheses

Remove the parentheses from the expression: \(1 + 7x^3 - x^2 + x^3 + 2 + 2x^2\)

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

Arrange the terms in descending order of exponents: \(8x^3 + x^2 + 3\)

Answer:

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