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: Recognize the given expression as a quadratic trinomial. The expression is in the form ax^2 + bx + c, where a=1, b=2, and c=1. Step 2: Factor the trinomial. This expression is a perfect square trinomial, which follows the pattern (A+B)^2 = A^2 + 2AB + B^2. Here, A^2 = x^2, so A=x. And B^2 = 1, so B=1. Check the middle term: 2AB = 2(x)(1) = 2x, which matches the given expression. Step 3: Write the factored form. x^2 + 2x + 1 = (x+1)^2 The simplified expression is: (x+1)^2 That's 2 down. 3 left today — send the next one.