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
1. by - cy Step 1: Identify the common factor. The common factor is y. Step 2: Factor out the common factor. y(b - c) The factored expression is y(b - c). 2. 26m - 39n Step 1: Find the greatest common divisor (GCD) of 26 and 39. The factors of 26 are 1, 2, 13, 26. The factors of 39 are 1, 3, 13, 39. The GCD is 13. Step 2: Factor out the GCD. 13(2m - 3n) The factored expression is 13(2m - 3n). 3. 6s - 8st Step 1: Identify the common factors. The common numerical factor (GCD of 6 and 8) is 2. The common variable factor is s. So, the common factor is 2s. Step 2: Factor out the common factor. 2s(3 - 4t) The factored expression is 2s(3 - 4t). 4. 12ab^2 - 15a^2b Step 1: Identify the common factors. The common numerical factor (GCD of 12 and 15) is 3. The common variable factors are a and b. So, the common factor is 3ab. Step 2: Factor out the common factor. 3ab(4b - 5a) The factored expression is 3ab(4b - 5a). 5. 5 × 8.36 + 5 × 3.64 Step 1: Identify the common factor. The common factor is 5. Step 2: Factor out the common factor using the distributive property a(b+c) = ab+ac. 5(8.36 + 3.64) Step 3: Perform the addition inside the parentheses. 5(12.00) Step 4: Perform the multiplication. 5 × 12 = 60 The simplified value is 60. Send me the next one 📸