We will simplify the given expression:

$(8x^2 - 7x + 8) - (4x^2 - 3x + 3)$

Step 1: Distribute the Negative Sign

$8x^2 - 7x + 8 - 4x^2 + 3x - 3$

Step 2: Combine Like Terms

• $x^2$ terms: $8x^2 - 4x^2 = 4x^2$
• $x$ terms: $-7x + 3x = -4x$
• Constant terms: $8 - 3 = 5$

Final Answer:

$4x^2 - 4x + 5$

Would you like a breakdown of any step?

Related Questions:

1. How do you factor $4x^2 - 4x + 5$ if possible?
2. What happens if you substitute $x = 2$ into the expression?
3. How do you graph the function $f(x) = 4x^2 - 4x + 5$?
4. Can you complete the square for $4x^2 - 4x + 5$?
5. What are the roots of $4x^2 - 4x + 5 = 0$ using the quadratic formula?

Tip:

When subtracting polynomials, always distribute the negative sign to avoid sign errors.