Final answer:
To subtract the polynomials (5x³-8x²+8x+3) and (4x²-4x+2), subtract the corresponding terms and simplify the result.
Step-by-step explanation:
To subtract the polynomials (5x³-8x²+8x+3) and (4x²-4x+2), we'll subtract the corresponding terms:
- Subtract the constant terms: 3 - 2 = 1
- Subtract the x terms: 8x - (-4x) = 8x + 4x = 12x
- Subtract the x² terms: -8x² - 4x² = -12x²
- There is no x³ term in the second polynomial, so it remains the same.
Putting it all together, the result is a polynomial in standard form: -12x² + 12x + 1.
Learn more about Polynomial subtraction