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add: $(6x^3 - 2x + 8) + (-3x^3 + 5x^2 - 4)$

Question

add:
$(6x^3 - 2x + 8) + (-3x^3 + 5x^2 - 4)$

Explanation:

Step1: Remove parentheses

We have \((6x^3 - 2x + 8)+(-3x^3 + 5x^2 - 4)\). Removing the parentheses gives \(6x^3 - 2x + 8 - 3x^3 + 5x^2 - 4\).

Step2: Combine like terms

For the \(x^3\) terms: \(6x^3-3x^3 = 3x^3\).
For the \(x^2\) terms: We have \(5x^2\) (since there is no other \(x^2\) term to combine with).
For the \(x\) terms: We have \(-2x\) (since there is no other \(x\) term to combine with).
For the constant terms: \(8 - 4=4\).
Putting it all together, we get \(3x^3+5x^2 - 2x + 4\).

Answer:

\(3x^3 + 5x^2 - 2x + 4\)