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
Step 1: Factorize each expression. The expressions are already factored as shown in your work: x^2+x-6 = (x+3)(x-2) x^2-9 = (x+3)(x-3) 6x+18 = 6(x+3) Step 2: Find the HCF (Highest Common Factor). The HCF is the product of the common factors raised to the lowest power they appear in any of the expressions. The common factor in all three expressions is (x+3). HCF = (x+3) Step 3: Find the LCM (Lowest Common Multiple). The LCM is the product of all unique factors (common and non-common) raised to the highest power they appear in any of the expressions. The unique factors are 6, (x+3), (x-2), and (x-3). Each appears with a maximum power of 1. LCM = 6(x+3)(x-2)(x-3) The HCF and LCM are: HCF: (x+3) LCM: 6(x+3)(x-2)(x-3) Send me the next one 📸