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 solutions to the questions: 2.1.1 In which expressions must you multiply t into the brackets? The expressions where t is multiplied into the brackets are A and C. In A: 3 - t(t+5), the term -t is multiplied by (t+5). In C: t(t+1), the term t is multiplied by (t+1). The expressions are A and C. 2.1.2 Simplify each expression. A: 3 - t(t+5) Step 1: Distribute -t into the brackets. 3 - t(t+5) = 3 - (t · t + t · 5) = 3 - (t^2 + 5t) Step 2: Remove the brackets and simplify. 3 - t^2 - 5t = -t^2 - 5t + 3 B: (t+3) - t Step 1: Remove the brackets. t+3-t Step 2: Combine like terms. t-t+3 = 3 C: t(t+1) Step 1: Distribute t into the brackets. t(t+1) = t · t + t · 1 = t^2 + t D: (t+1) + t+1 Step 1: Remove the brackets. t+1+t+1 Step 2: Combine like terms. t+t+1+1 = 2t+2 E: (t+2) - 2t Step 1: Remove the brackets. t+2-2t Step 2: Combine like terms. t-2t+2 = -t+2 F: (t+2)(t-2) Step 1: Apply the distributive property (FOIL method). (t+2)(t-2) = t(t-2) + 2(t-2) = t^2 - 2t + 2t - 4 Step 2: Combine like terms. t^2 - 2t + 2t - 4 = t^2 - 4 Last free one today — make it count tomorrow, or type /upgrade for unlimited.