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 out common terms from the numerator and denominator of the fraction. The numerator is 12x - 6y. The common factor is 6. 12x - 6y = 6(2x - y) The denominator is 4x - 2y. The common factor is 2. 4x - 2y = 2(2x - y) Step 2: Substitute the factored terms back into the fraction and simplify. (12x - 6y)/(4x - 2y) = (6(2x - y))/(2(2x - y)) Assuming 2x - y ≠ 0, we can cancel the term (2x - y). (6)/(2) = 3 Step 3: Substitute the simplified fraction back into the original expression. The original expression is (12x - 6y)/(4x - 2y) + 24x - 9y. Substituting the simplified fraction, we get: 3 + 24x - 9y Step 4: Rearrange the terms in a standard algebraic order (variables first, then constants). 24x - 9y + 3 The simplified expression is: 24x - 9y + 3 Send me the next one 📸