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: Factor the numerator of the first fraction and the denominator of the second fraction. The numerator 2m^2 - 2m can be factored by taking out the common term 2m. The denominator m^2 - 2m + 1 is a perfect square trinomial, which factors as (m-1)^2. (2m^2 - 2m)/(m) × (1)/(m^2 - 2m + 1) = (2m(m-1))/(m) × (1)/((m-1)^2) Step 2: Cancel common terms in the first fraction. The m in the numerator and denominator of the first fraction cancel out. = 2(m-1) × (1)/((m-1)^2) Step 3: Multiply the simplified terms. = (2(m-1))/((m-1)^2) Step 4: Cancel the common factor (m-1) from the numerator and denominator. = (2)/(m-1) The simplified expression is: (2)/(m-1) That's 2 down. 3 left today — send the next one.