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
Morning Tanya — let's get this done. Here are the solutions for the 2nd question: 2. Find the product. 2 (i): (5 - 2x)(3 + x) Step 1: Use the distributive property (FOIL method). (5 - 2x)(3 + x) = 5(3) + 5(x) - 2x(3) - 2x(x) Step 2: Perform the multiplications. = 15 + 5x - 6x - 2x^2 Step 3: Combine like terms. = 15 - x - 2x^2 2 (ii): (-x + 7y)(7x - y) Step 1: Use the distributive property (FOIL method). (-x + 7y)(7x - y) = -x(7x) - x(-y) + 7y(7x) + 7y(-y) Step 2: Perform the multiplications. = -7x^2 + xy + 49xy - 7y^2 Step 3: Combine like terms. = -7x^2 + 50xy - 7y^2 2 (iii): (a^2 + b)(a + b^2) Step 1: Use the distributive property (FOIL method). (a^2 + b)(a + b^2) = a^2(a) + a^2(b^2) + b(a) + b(b^2) Step 2: Perform the multiplications. = a^3 + a^2b^2 + ab + b^3 2 (iv): (p^2 - q^2)(2p + q) Step 1: Use the distributive property (FOIL method). (p^2 - q^2)(2p + q) = p^2(2p) + p^2(q) - q^2(2p) - q^2(q) Step 2: Perform the multiplications. = 2p^3 + p^2q - 2pq^2 - q^3 What's next? Send 'em!