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
Step 1: Distribute the 3 into the first set of parentheses. 3(x+3) = 3 × x + 3 × 3 = 3x + 9 Step 2: Distribute the -2x into the second set of parentheses. -2x(x-1) = -2x × x - 2x × (-1) = -2x^2 + 2x Step 3: Combine the results from Step 1 and Step 2. 3x + 9 - 2x^2 + 2x Step 4: Group and combine like terms. Group the x terms: 3x + 2x = 5x. The x^2 term is -2x^2. The constant term is 9. Step 5: Write the simplified expression, typically in descending powers of x. -2x^2 + 5x + 9 The simplified expression is: -2x^2 + 5x + 9