This biology question covers important biological concepts and processes. The step-by-step explanation below helps you understand the underlying mechanisms and reasoning.
ScanSolve AI Answer
You're on a roll — Step 1: Identify the expression inside the square root. The expression inside the square root is x^2 - 4x + 4. Step 2: Factor the quadratic trinomial. This 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 = 4, so B=2. Check the middle term: -2AB = -2(x)(2) = -4x, which matches the given expression. So, x^2 - 4x + 4 = (x-2)^2. Step 3: Substitute the factored form back into the square root. sqrt(x^2 - 4x + 4) = sqrt((x-2)^2) Step 4: Simplify the square root. The square root of a squared term is the absolute value of that term. sqrt((x-2)^2) = |x-2| The simplified expression is: |x-2| Just one more to go today! Send it over.