Question

the sum of $8x^2 - x + 9$ and $8x^2 - 5x + 5$.

Explanation:

Step1: Write the sum expression

To find the sum of \(8x^2 - x + 9\) and \(8x^2 - 5x + 5\), we write the expression as \((8x^2 - x + 9)+(8x^2 - 5x + 5)\).

Step2: Combine like terms for \(x^2\) terms

The \(x^2\) terms are \(8x^2\) and \(8x^2\). Combining them gives \(8x^2 + 8x^2=16x^2\).

Step3: Combine like terms for \(x\) terms

The \(x\) terms are \(-x\) and \(-5x\). Combining them gives \(-x-5x = -6x\).

Step4: Combine like terms for constant terms

The constant terms are \(9\) and \(5\). Combining them gives \(9 + 5=14\).

Step5: Write the final expression

Putting it all together, we get \(16x^2-6x + 14\).

Answer:

\(16x^2-6x + 14\)