1. Problem: Add the polynomials \((4x^2 + 4x + 1) + (4x + 20)\). 2. Formula: To add polynomials, combine like terms (terms with the same power of \(x\)). 3. Work: \[(4x^2 + 4x + 1) + (4x + 20) = 4x^2 + (4x + 4x) + (1 + 20)\] \[= 4x^2 + 8x + 21\] 4. Explanation: We added the coefficients of \(x\) terms and constant terms separately. 5. Final answer: \(4x^2 + 8x + 21\).