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 are the step-by-step expansions for each algebraic expression: 1) (x+4)(x+5) Step 1: Distribute the terms. x(x+5) + 4(x+5) Step 2: Multiply each term inside the parentheses. x^2 + 5x + 4x + 20 Step 3: Combine like terms. x^2 + 9x + 20 The expansion is x^2 + 9x + 20. 2) (x-3)(x+7) Step 1: Distribute the terms. x(x+7) - 3(x+7) Step 2: Multiply each term inside the parentheses. x^2 + 7x - 3x - 21 Step 3: Combine like terms. x^2 + 4x - 21 The expansion is x^2 + 4x - 21. 3) (2x+1)(x-6) Step 1: Distribute the terms. 2x(x-6) + 1(x-6) Step 2: Multiply each term inside the parentheses. 2x^2 - 12x + x - 6 Step 3: Combine like terms. 2x^2 - 11x - 6 The expansion is 2x^2 - 11x - 6. 4) (3x-2)(x+4) Step 1: Distribute the terms. 3x(x+4) - 2(x+4) Step 2: Multiply each term inside the parentheses. 3x^2 + 12x - 2x - 8 Step 3: Combine like terms. 3x^2 + 10x - 8 The expansion is 3x^2 + 10x - 8. 5) (x+6)(2x-3) Step 1: Distribute the terms. x(2x-3) + 6(2x-3) Step 2: Multiply each term inside the parentheses. 2x^2 - 3x + 12x - 18 Step 3: Combine like terms. 2x^2 + 9x - 18 The expansion is 2x^2 + 9x - 18. All your solutions are correct! You scored 5/5. Send me the next one 📸