Question

question
subtract $-2x^2 + 2$ from $-3x^2 + 10$.

answer attempt 1 out of 2
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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: \(-3x^2+2x^2=-x^2\). For the constant terms: \(10 - 2 = 8\). So the result is \(-x^2+8\).

Answer:

\(-x^2 + 8\)