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
To expand and simplify the expression (m+n)(10m-4n), we use the distributive property (FOIL method). Step 1: Multiply the first terms in each parenthesis. m × 10m = 10m^2 Step 2: Multiply the outer terms. m × (-4n) = -4mn Step 3: Multiply the inner terms. n × 10m = 10mn Step 4: Multiply the last terms in each parenthesis. n × (-4n) = -4n^2 Step 5: Combine all the terms and simplify by combining like terms. 10m^2 - 4mn + 10mn - 4n^2 10m^2 + (10mn - 4mn) - 4n^2 10m^2 + 6mn - 4n^2 The expanded and simplified expression is: 10m^2 + 6mn - 4n^2 Send me the next one 📸