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combine: $3x^2 + 4x - x^2 + 2$

Question

combine: $3x^2 + 4x - x^2 + 2$

Explanation:

Step1: Combine like terms for \(x^2\)

We have \(3x^2 - x^2\). The coefficient of \(x^2\) in the first term is 3 and in the second term (after the subtraction) is -1. So, \(3x^2 - x^2=(3 - 1)x^2 = 2x^2\)

Step2: Bring down the remaining terms

The remaining terms are \(4x\) and \(2\). So when we combine all the terms, we have \(2x^2+4x + 2\)

Answer:

\(2x^2 + 4x + 2\)