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
Hey Nmk, good to see you again. Here are the solutions to the problems by factorising: 1. Step 1: Identify the common factor. 34 × 48 + 34 × 52 Step 2: Factor out the common factor, which is 34. 34 × (48 + 52) Step 3: Perform the addition inside the parentheses. 34 × 100 Step 4: Perform the multiplication. 3400 2. Step 1: Identify the common factor. 61 × 87 - 61 × 85 Step 2: Factor out the common factor, which is 61. 61 × (87 - 85) Step 3: Perform the subtraction inside the parentheses. 61 × 2 Step 4: Perform the multiplication. 122 3. Step 1: Identify the common factor. 128 × 27 - 28 × 27 Step 2: Factor out the common factor, which is 27. (128 - 28) × 27 Step 3: Perform the subtraction inside the parentheses. 100 × 27 Step 4: Perform the multiplication. 2700 4. Step 1: Identify the common factor. 693 × 7 + 693 × 3 Step 2: Factor out the common factor, which is 693. 693 × (7 + 3) Step 3: Perform the addition inside the parentheses. 693 × 10 Step 4: Perform the multiplication. 6930 5. Step 1: Identify the common factor. (8)/(13) × 125 + (5)/(13) × 125 Step 2: Factor out the common factor, which is 125. ((8)/(13) + (5)/(13)) × 125 Step 3: Perform the addition inside the parentheses. ((8+5)/(13)) × 125 ((13)/(13)) × 125 1 × 125 Step 4: Perform the multiplication. 125 6. Step 1: Identify the common factor. (22)/(7) × 10 + (22)/(7) × 4 Step 2: Factor out the common factor, which is (22)/(7). (22)/(7) × (10 + 4) Step 3: Perform the addition inside the parentheses. (22)/(7) × 14 Step 4: Perform the multiplication. 22 × (14)/(7) 22 × 2 44 Send me the next one 📸