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 — here are the solutions to the questions: 1.3.1 Substitute t=5 in E, F and G respectively and find the value of each expression. Step 1: Substitute t=5 into expression E. E = 3t(-2) = 3(5)(-2) = 15(-2) = -30 The value of E is -30. Step 2: Substitute t=5 into expression F. F = 3t(2-t) = 3(5)(2-5) = 15(-3) = -45 The value of F is -45. Step 3: Substitute t=5 into expression G. G = (-2)3t = (-2)3(5) = (-6)(5) = -30 The value of G is -30. 1.3.2 Which expressions give the same answer? Why does this happen? Which expressions give the same answer? Expressions E and G give the same answer. Why does this happen? This happens because multiplication is commutative. The order in which numbers or variables are multiplied does not change the product. In expressions E (3t(-2)) and G ((-2)3t), the same factors (3, t, and -2) are being multiplied, just in a different order. 1.3.3 Expand the expressions E, F and G. Step 1: Expand expression E. E = 3t(-2) = 3 · (-2) · t = -6t The expanded expression E is -6t. Step 2: Expand expression F. F = 3t(2-t) = 3t · 2 - 3t · t = 6t - 3t^2 The expanded expression F is 6t - 3t^2. Step 3: Expand expression G. G = (-2)3t = (-2) · 3 · t = -6t The expanded expression G is -6t. What's next?