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add $(1 + 7x^3 - x^2) + (x^2 + 2 + 2x^2)$ express the answer in standar…

Question

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

Explanation:

Step1: Remove parentheses

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

Step2: Combine like terms

  • For the \(x^3\) term: There is only \(7x^3\).
  • For the \(x^2\) terms: \(-x^2+x^2 + 2x^2=2x^2\).
  • For the constant terms: \(1 + 2 = 3\).

Putting it all together, we get \(7x^3+2x^2 + 3\).

Answer:

\(7x^3 + 2x^2 + 3\)