I need help solving this problem ### Dividing Rational Expressions Involving Multivariate Quadratics#### Problem Statement**Divide:**\[\frac{x^2 - 12xy + 20y^2}{x^2 - 4y^2} \div \frac{3x - 6y}{x + 2y}\]**Simplify** your answer as much as possible.#### ExplanationTo divide these rational expressions, follow these steps:1. **Rewrite the division as a multiplication by the reciprocal:** \[ \frac{x^2 - 12xy + 20y^2}{x^2 - 4y^2} \times \frac{x + 2y}{3x - 6y} \]2. **Factor all polynomials:** - The numerator \(x^2 - 12xy + 20y^2\) can be factored as \((x - 2y)(x - 10y)\). - The denominator \(x^2 - 4y^2\) is a difference of squares, which factors as \((x - 2y)(x + 2y)\). - The numerator \(3x - 6y\) can be factored as \(3(x - 2y)\). Therefore, we have: \[ \frac{(x - 2y)(x - 10y)}{(x - 2y)(x + 2y)} \times \frac{x + 2y}{3(x - 2y)} \]3. **Cancel out common factors:** - Cancel \( (x - 2y) \) from both the numerator and the denominator. - Cancel \( (x + 2y) \) from both the numerator and the denominator. This simplifies to: \[ \frac{x - 10y}{3} \]### Final Answer\[\frac{x - 10y}{3}\]This simplified form is the final answer after dividing and simplifying the given rational expressions.

Name: I need help solving this problem ### Dividing Rational Expressions Inv
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: I need help solving this problem ### Dividing Rational Expressions Involving Multivariate Quadratics#### Problem Statement**Divide:**\[\frac{x^2 - 12xy + 20y^2}{x^2 - 4y^2} \div \frac{3x - 6y}{x + 2y}\]**Simplify** your answer as much as possible.###