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$(1 + 7x^3 - x^2) + (x^2 + 2 + 2x^2)$
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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 \(7x^3+2x^2 + 3\).
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\(7x^3 + 2x^2 + 3\)