Question

question
find the sum of $-8x^2 + 9x$ and $-6x^2 + 10x$.

Explanation:

Step1: Write the sum expression

To find the sum of \(-8x^2 + 9x\) and \(-6x^2 + 10x\), we write the expression as \((-8x^2 + 9x)+(-6x^2 + 10x)\).

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

Combine the \(x^2\) terms: \(-8x^2-6x^2 = (-8 - 6)x^2=-14x^2\).

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

Combine the \(x\) terms: \(9x + 10x=(9 + 10)x = 19x\).

Step4: Combine the results

Combine the results from Step 2 and Step 3: \(-14x^2+19x\).

Answer:

\(-14x^2 + 19x\)