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
Your solutions for all three factorization problems are correct! You have correctly applied the difference of two squares formula. Here's a breakdown of the method for the first problem as an example: The general formula for the difference of two squares is: a^2 - b^2 = (a-b)(a+b) Problem 1: Factorise x^2 - 9 Step 1: Identify a^2 and b^2. Here, a^2 = x^2, so a = x. And b^2 = 9, so b = sqrt(9) = 3. Step 2: Apply the difference of two squares formula. x^2 - 9 = (x-3)(x+3) Your answer: (x-3)(x+3) Problem 2: Factorise x^2 - 64 Here, a = x and b = sqrt(64) = 8. x^2 - 64 = (x-8)(x+8) Your answer: (x-8)(x+8) Problem 3: Factorise 9y^2 - 81 Here, a = sqrt(9y^2) = 3y and b = sqrt(81) = 9. 9y^2 - 81 = (3y-9)(3y+9) Your answer: (3y-9)(3y+9) All your answers are correct! Send me the next one 📸