Question

Сократите дробь x^2 - 4xy + 3y^2 / x^2 - 5xy + 4y^2

Answer 1

$frac{x^{2}-4xy+3y^{2}}{x^2-5xy+4y^{2}} = frac{x^{2}-xy-3xy+3y^{2}}{x^{2}-xy-4xy+4y^{2}} = frac{x(x-y)-3y(x-y)}{x(x-y)-4y(x-y)} = frac{(x-y)(x-3y)}{(x-y)(x-4y)} = frac{x-3y}{x-4y}$