Question

question
subtract $-9x^2 + 4x$ from $-8x^2 + 8x - 10$.
answer attempt 1 out of 2

Explanation:

Step1: Write the subtraction expression

We need to subtract \(-9x^2 + 4x\) from \(-8x^2 + 8x - 10\), so the expression is \((-8x^2 + 8x - 10) - (-9x^2 + 4x)\).

Step2: Distribute the negative sign

Using the distributive property \(a-(b + c)=a - b - c\), we get \(-8x^2 + 8x - 10 + 9x^2 - 4x\).

Step3: Combine like terms

For the \(x^2\) terms: \(-8x^2+9x^2 = x^2\).
For the \(x\) terms: \(8x - 4x=4x\).
The constant term remains \(-10\).
So combining these, we have \(x^2 + 4x - 10\).

Answer:

\(x^2 + 4x - 10\)