Question

of $8x^2 + 3$ and $-4x^2 - 8x + 4$.

Explanation:

Assuming the problem is to find the sum of \(8x^{2}+3\) and \(-4x^{2}-8x + 4\).

Step 1: Identify like terms

The like terms for \(x^{2}\) are \(8x^{2}\) and \(-4x^{2}\), the constant terms are \(3\) and \(4\), and there is a linear term \(-8x\) with no like term in the first expression.

Step 2: Combine like terms for \(x^{2}\)

\(8x^{2}+(-4x^{2})=(8 - 4)x^{2}=4x^{2}\)

Step 3: Combine constant terms

\(3 + 4=7\)

Step 4: Write the combined expression

The linear term \(-8x\) remains as it is. So the sum is \(4x^{2}-8x + 7\)

Answer:

The sum of \(8x^{2}+3\) and \(-4x^{2}-8x + 4\) is \(4x^{2}-8x + 7\)