Question

Разложите на множители:

$3x^{2} - 3y^{2} - x + y$

Answer 1

3(x²-y²)-(x-y)= 3(x-y)(x+y)-(x-y)= (x-y)(3x+3y-1)

Answer 2

3x² - 3y² - x + y = (3x² - 3y²) - (x - y) = 3(x² - y²) - (x - y) = 3(x - y)(x + y) - (x - y) =

= (x - y)[3(x + y) - 1] = (x - y)(3x + 3y - 1)