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 expressions: 1. Step 1: Distribute the 6 to each term inside the parenthesis. 6(x+3) = 6 · x + 6 · 3 Step 2: Perform the multiplications. 6x + 18 The expanded expression is: 6x + 18 2. Step 1: Distribute the -4 to each term inside the parenthesis. -4(x+3) = -4 · x + (-4) · 3 Step 2: Perform the multiplications. -4x - 12 The expanded expression is: -4x - 12 3. Step 1: Distribute the x to each term inside the parenthesis. x(x+2) = x · x + x · 2 Step 2: Perform the multiplications. x^2 + 2x The expanded expression is: x^2 + 2x 4. Step 1: Distribute 20I into the first parenthesis and 4 into the second parenthesis. 20I(a+3b) + 4(2a+b) = (20I · a + 20I · 3b) + (4 · 2a + 4 · b) Step 2: Perform the multiplications. 20Ia + 60Ib + 8a + 4b The expanded expression is: 20Ia + 60Ib + 8a + 4b 5. Step 1: Distribute 4 into the first parenthesis and simplify the second parenthesis. 4(2b+1) - 3(6-2) = (4 · 2b + 4 · 1) - 3(4) Step 2: Perform the multiplications. 8b + 4 - 12 Step 3: Combine the constant terms. 8b - 8 The expanded expression is: 8b - 8 Send me the next one 📸