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 (2x+3)(x-4), we will use the distributive property (often remembered as FOIL: First, Outer, Inner, Last). Step 1: Multiply the First terms. (2x)(x) = 2x^2 Step 2: Multiply the Outer terms. (2x)(-4) = -8x Step 3: Multiply the Inner terms. (3)(x) = 3x Step 4: Multiply the Last terms. (3)(-4) = -12 Step 5: Combine all the terms from Steps 1-4. 2x^2 - 8x + 3x - 12 Step 6: Simplify the expression by combining the like terms (the x terms). 2x^2 + (-8x + 3x) - 12 2x^2 - 5x - 12 The expanded and simplified expression is 2x^2 - 5x - 12. Send me the next one 📸