This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here's how to simplify the expression using the method shown: 4.2.1 (x+9)(x+3)+(x+8)(x+1) Step 1: Find the product of (x+9)(x+3). (x+9)(x+3) = x(x+3) + 9(x+3) = x^2 + 3x + 9x + 27 = x^2 + 12x + 27 (Answer 1) Step 2: Find the product of (x+8)(x+1). (x+8)(x+1) = x(x+1) + 8(x+1) = x^2 + x + 8x + 8 = x^2 + 9x + 8 (Answer 2) Step 3: Combine Answer 1 and Answer 2, and simplify. (x^2 + 12x + 27) + (x^2 + 9x + 8) = x^2 + x^2 + 12x + 9x + 27 + 8 = 2x^2 + 21x + 35 3 done, 2 left today. You're making progress.