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
Here are the factorizations for each expression: a) Step 1: Find the greatest common factor (GCF) of 2x and 12. The GCF is 2. Step 2: Factor out the GCF. 2x - 12 = 2(x) - 2(6) = 2(x - 6) The factored expression is 2(x - 6). b) Step 1: Find the GCF of 4x and 2x^2. The GCF is 2x. Step 2: Factor out the GCF. 4x + 2x^2 = 2x(2) + 2x(x) = 2x(2 + x) The factored expression is 2x(2 + x). c) Step 1: Combine the constant terms. 17y + 51 - 34 = 17y + 17 Step 2: Find the GCF of 17y and 17. The GCF is 17. Step 3: Factor out the GCF. 17y + 17 = 17(y) + 17(1) = 17(y + 1) The factored expression is 17(y + 1). d) Step 1: Find the GCF of -4x and -12. The GCF is -4. Step 2: Factor out the GCF. -4x - 12 = -4(x) - 4(3) = -4(x + 3) The factored expression is -4(x + 3). e) Step 1: Find the GCF of 10x and 15. The GCF is 5. Step 2: Factor out the GCF. 10x + 15 = 5(2x) + 5(3) = 5(2x + 3) The factored expression is 5(2x + 3). f) Step 1: Combine the like terms (3x and 6x). 3x - 21 + 6x = (3x + 6x) - 21 = 9x - 21 Step 2: Find the GCF of 9x and 21. The GCF is 3. Step 3: Factor out the GCF. 9x - 21 = 3(3x) - 3(7) = 3(3x - 7) The factored expression is 3(3x - 7). Send me the next one 📸