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 factorisations. a) Factorise 28xy - 12x. Step 1: Find the greatest common factor (GCF) of the terms 28xy and 12x. The GCF of the coefficients 28 and 12 is 4. The GCF of the variables xy and x is x. So, the GCF of 28xy and 12x is 4x. Step 2: Factor out the GCF from each term. 28xy - 12x = 4x(7y) - 4x(3) 28xy - 12x = 4x(7y - 3) The answer is 4x(7y - 3). b) Factorise y - 6x + 2xy - 3. Step 1: Group the terms to look for common factors. Rearrange the terms to group those with common factors: y - 3 - 6x + 2xy Group the first two terms and the last two terms: (y - 3) + (-6x + 2xy) Step 2: Factor out the common factor from each group. For the first group (y - 3), the common factor is 1. 1(y - 3) For the second group (-6x + 2xy), the common factor is 2x. 2x(-3 + y) So the expression becomes: 1(y - 3) + 2x(y - 3) Step 3: Factor out the common binomial factor (y - 3). (y - 3)(1 + 2x) The answer is (y - 3)(1 + 2x). Last free one today — make it count tomorrow, or type /upgrade for unlimited.