Question

question
subtract $-2x^2 + 2$ from $-3x^2 + 10$.
answer attempt 1 out of 2

Explanation:

Step1: Write the subtraction expression

We need to subtract \(-2x^2 + 2\) from \(-3x^2 + 10\), so the expression is \((-3x^2 + 10)-(-2x^2 + 2)\).

Step2: Distribute the negative sign

Using the distributive property \(a-(b + c)=a - b - c\), we get \(-3x^2 + 10 + 2x^2 - 2\).

Step3: Combine like terms

For the \(x^2\) terms: \(-3x^2+2x^2=(-3 + 2)x^2=-x^2\).
For the constant terms: \(10-2 = 8\).

So combining these, we have \(-x^2+8\).

Answer:

\(-x^2 + 8\)