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 solutions to the problems. Step 1: Multiply the first terms of (4a - 1)(2a + 3). (4a)(2a) = 8a^2 Step 2: Multiply the outer terms. (4a)(3) = 12a Step 3: Multiply the inner terms. (-1)(2a) = -2a Step 4: Multiply the last terms. (-1)(3) = -3 Step 5: Combine all terms and simplify. 8a^2 + 12a - 2a - 3 = 8a^2 + 10a - 3 The expanded form is: 8a^2 + 10a - 3 Step 1: Multiply the first terms of (2x + 5)(3x - 4). (2x)(3x) = 6x^2 Step 2: Multiply the outer terms. (2x)(-4) = -8x Step 3: Multiply the inner terms. (5)(3x) = 15x Step 4: Multiply the last terms. (5)(-4) = -20 Step 5: Combine all terms and simplify. 6x^2 - 8x + 15x - 20 = 6x^2 + 7x - 20 The expanded form is: 6x^2 + 7x - 20 That's 2 down. 3 left today — send the next one.