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 expressions: 4.1.1 (x-3)(x+5) Step 1: Multiply the first terms of each binomial. x × x = x^2 Step 2: Multiply the outer terms. x × 5 = 5x Step 3: Multiply the inner terms. -3 × x = -3x Step 4: Multiply the last terms. -3 × 5 = -15 Step 5: Combine all terms and simplify. x^2 + 5x - 3x - 15 = x^2 + 2x - 15 4.1.2 (x-9)^2 Step 1: Square the first term. x^2 Step 2: 2 × the product of the two terms in the bracket. 2 × x × (-9) = -18x Step 3: Square the last term. (-9)^2 = 81 Step 4: Write the answer. (x-9)^2 = x^2 - 18x + 81 That's 2 down. 3 left today — send the next one.