Question

question
subtract $-10x + 3$ from $-7x^2 + 5x + 10$.

Explanation:

Step1: Write the subtraction as an expression

We need to subtract \(-10x + 3\) from \(-7x^2 + 5x + 10\), so the expression is \((-7x^2 + 5x + 10)-(-10x + 3)\).

Step2: Distribute the negative sign

When we distribute the negative sign to \(-10x + 3\), we get \(-7x^2 + 5x + 10 + 10x - 3\).

Step3: Combine like terms

For the \(x\) terms: \(5x+10x = 15x\). For the constant terms: \(10 - 3=7\). The \(x^2\) term remains \(-7x^2\). So combining like terms gives \(-7x^2+15x + 7\).

Answer:

\(-7x^2 + 15x + 7\)