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 the expression (x+3)(x+2), we use the distributive property, often remembered by the FOIL method (First, Outer, Inner, Last). Step 1: Multiply the First terms of each binomial. x × x = x^2 Step 2: Multiply the Outer terms of the expression. x × 2 = 2x Step 3: Multiply the Inner terms of the expression. 3 × x = 3x Step 4: Multiply the Last terms of each binomial. 3 × 2 = 6 Step 5: Add all these products together. x^2 + 2x + 3x + 6 Step 6: Combine the like terms (2x and 3x). x^2 + (2x + 3x) + 6 x^2 + 5x + 6 Comparing this result with the given options: A. x^2+5x+6 B. x^2+6x+5 C. x^2+3x+2 D. x^2+2x+3 The expanded expression matches option A. The final answer is A. x^2+5x+6. Got more? Send 'em.