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 the solution for the next problem: 4.2.1 (x+9)(x+3)+(x+8)(x+1) Step 1: Find the product of (x+9)(x+3). Multiply the terms using the FOIL method (First, Outer, Inner, Last). (x+9)(x+3) = x(x) + x(3) + 9(x) + 9(3) = x^2 + 3x + 9x + 27 = x^2 + 12x + 27 (Answer 1) Step 2: Find the product of (x+8)(x+1). Multiply the terms using the FOIL method. (x+8)(x+1) = x(x) + x(1) + 8(x) + 8(1) = x^2 + x + 8x + 8 = x^2 + 9x + 8 (Answer 2) Step 3: Combine the two answers, Answer 1 + Answer 2, and simplify. Add the results from Step 1 and Step 2. (x^2 + 12x + 27) + (x^2 + 9x + 8) Combine like terms (x^2 terms, x terms, and constant terms). (x^2 + x^2) + (12x + 9x) + (27 + 8) = 2x^2 + 21x + 35 2x^2 + 21x + 35 One more to go for today! Send it over.