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
QUESTION 1 1.1 Step 1: Group like terms together. (3m - 5m) + (-n + 6n) Step 2: Combine the like terms. -2m + 5n The simplified expression is -2m + 5n 1.2 Step 1: Distribute ab to each term inside the parenthesis. ab(a^2) - ab(2b) Step 2: Multiply the terms. a^1+2b - 2ab^1+1 a^3b - 2ab^2 The simplified expression is a^3b - 2ab^2 1.3 Step 1: Distribute -d to each term inside the parenthesis. 4d - (d · 2d + d · 2) 4d - (2d^2 + 2d) Step 2: Remove the parenthesis by changing the sign of each term inside. 4d - 2d^2 - 2d Step 3: Combine like terms. (4d - 2d) - 2d^2 2d - 2d^2 The simplified expression is 2d - 2d^2 1.4 Step 1: Distribute 3 into the first parenthesis and 6 into the second parenthesis. (3 · b - 3 · 2) + (6 · b + 6 · 1) 3b - 6 + 6b + 6 Step 2: Group like terms together. (3b + 6b) + (-6 + 6) Step 3: Combine the like terms. 9b + 0 9b The simplified expression is 9b What's next?