Simplify: (3x2 - 9y2)/(xy) × (20xy)/(6x − 3y)

Question

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here's the solution to the problem. (3x² − 9y²)/(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 3x² − 9y²: 3x² − 9y² = 3(x² − 3y²) 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(x² − 3y²))/(xy) × (20xy)/(3(2x − y)) Step 3: Multiply the numerators and the denominators. (3(x² − 3y²) · 20xy)/(xy · 3(2x − y)) Step 4: Cancel out common factors from the numerator and denominator. The common factors are 3 and xy. 3(x² − 3y²) · 20xyxy · 3(2x − y) Step 5: Write the simplified expression. (20(x² − 3y²))/(2x − y) The simplified expression is (20(x² − 3y²))/(2x − y).

Simplify: (3x2 - 9y2)/(xy) * (20xy)/(6x - 3y)

Answer

Step-by-step solution

Factor the numerator of the first fraction and the denominator of the second fraction.

Substitute the factored expressions back into the original problem.

Multiply the numerators and the denominators.

Cancel out common factors from the numerator and denominator.

Write the simplified expression.

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