Let's simplify the given expression step-by-step.

We are asked to find the difference between two expressions:

$(4m^2 - m + 2) - (-3m^2 + 10m + 4)$

Step 1: Distribute the negative sign

When subtracting the second expression, we need to distribute the negative sign across the second set of parentheses:

$4m^2 - m + 2 + 3m^2 - 10m - 4$

Step 2: Combine like terms

Now, we combine the terms with $m^2$, $m$, and the constant terms:

• $4m^2 + 3m^2 = 7m^2$
• $-m - 10m = -11m$
• $2 - 4 = -2$

Final result:

$7m^2 - 11m - 2$

The simplified expression is:

$7m^2 - 11m - 2$

Would you like further explanation or more practice with similar problems? Here are some related questions:

1. How do you simplify expressions with more than two terms?
2. What happens when you subtract polynomials with higher powers?
3. How can you handle subtraction involving fractions?
4. What are the rules for combining like terms in polynomials?
5. How do you apply the distributive property to simplify expressions?

Tip: Always distribute the negative sign properly when subtracting polynomials to avoid mistakes!