560/MR00. problem / Math - Solved Math Problems

MR-560 / 560. problem

Simplify the following expression:

$\frac{3 x - 3 y}{2 x + 2 y} \cdot \frac{x^{2} - y^{2}}{x^{2} - 2 \cdot x \cdot y + y^{2}}$

Source: MathReference: Generic Math Textbook - 560.)

Thinking Operations → Number theory → Greatest common divisor

$\frac{3 (x - y)}{2 (x + y)} \cdot \frac{(x - y) (x + y)}{{(x - y)}^{2}} =$

$= \frac{3 (x - y)}{2 (x + y)} \cdot \frac{(x - y) (x + y)}{{(x - y)}^{2}}$

$= \frac{3}{2}$