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
here's the solution to the problem. (3x^2 - 9y^2)/(xy) × (20xy)/(6x - 3y) Step 1: Factor the numerator of the first fraction and the denominator of the second fraction. Factor out the common factor from 3x^2 - 9y^2: 3x^2 - 9y^2 = 3(x^2 - 3y^2) Factor out the common factor from 6x - 3y: 6x - 3y = 3(2x - y) Step 2: Substitute the factored expressions back into the original problem. (3(x^2 - 3y^2))/(xy) × (20xy)/(3(2x - y)) Step 3: Multiply the numerators and the denominators. (3(x^2 - 3y^2) · 20xy)/(xy · 3(2x - y)) Step 4: Cancel out common factors from the numerator and denominator. The common factors are 3 and xy. 3(x^2 - 3y^2) · 20xyxy · 3(2x - y) Step 5: Write the simplified expression. (20(x^2 - 3y^2))/(2x - y) The simplified expression is (20(x^2 - 3y^2))/(2x - y). Drop the next question.