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QUESTION IMAGE

perform the operation.\\((-4x^2 + 4x) + (-6x^2 - 8)\\)

Question

perform the operation.\\((-4x^2 + 4x) + (-6x^2 - 8)\\)

Explanation:

Step1: Remove parentheses

To perform the addition of the two polynomials, we first remove the parentheses. The expression becomes: $-4x^{2}+4x - 6x^{2}-8$

Step2: Combine like terms

Next, we combine the like terms. For the $x^{2}$ terms, we have $-4x^{2}-6x^{2}$. Combining these gives $(-4 - 6)x^{2}=-10x^{2}$. The $x$ term remains as $4x$ and the constant term remains as $-8$. So the simplified expression is: $-10x^{2}+4x - 8$

Answer:

$-10x^{2}+4x - 8$