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
You're on a roll — Step 1: Factorise question 10 a). The expression is K^2 - 8k - 3k + 24. Group the terms: (K^2 - 8k) - (3k - 24) Factor out the common factor from each group: K(K - 8) - 3(K - 8) Factor out the common binomial (K-8): (K - 8)(K - 3) The factored expression is (K-8)(K-3). Step 2: Factorise question 10 b). The expression is x^2 + 11x + 28. We need to find two numbers that multiply to 28 and add up to 11. These numbers are 4 and 7. Rewrite the middle term using these numbers: x^2 + 4x + 7x + 28 Group the terms: (x^2 + 4x) + (7x + 28) Factor out the common factor from each group: x(x + 4) + 7(x + 4) Factor out the common binomial (x+4): (x + 4)(x + 7) The factored expression is $