Question

question
perform the operation.
\\((5x^2 + 4x + 8) - (-9x - 3)\\)

Explanation:

Step1: Distribute the negative sign

To subtract the second polynomial, we distribute the negative sign to each term inside the parentheses: \((5x^{2}+4x + 8)+9x + 3\)

Step2: Combine like terms

Combine the \(x\) - terms and the constant terms:
For the \(x\) - terms: \(4x+9x = 13x\)
For the constant terms: \(8 + 3=11\)
The \(x^{2}\) term \(5x^{2}\) remains as it is since there is no other \(x^{2}\) term to combine with.
So the result is \(5x^{2}+13x + 11\)

Answer:

\(5x^{2}+13x + 11\)