Question

subtract $-10x^2 - 10x$ from $-2x^2 - 10x$.

Explanation:

Step1: Write the subtraction expression

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

Step2: Distribute the negative sign

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

Step3: Combine like terms

For the \(x^2\) terms: \(-2x^2+10x^2 = 8x^2\).
For the \(x\) terms: \(-10x + 10x=0\).

Answer:

\(8x^2\)