۱) $x^2 - 2x = x(x - 2)$

۲) $x^2 + 2x = x(x + 2)$

۳) $y^2 + 6y = y(y + 6)$

۴) $3x^2 + 2x^2 + 5 = 5x^2 + 5$

۵) $x^2 - 12y + 3y = x^2 - 9y$

( $(x + 3)(x + 1) = x^2 + 4x + 3$ )

( $(y - 2)(y - 5) = y^2 - 7y + 10$ )

( $(2x - 3)(2x + 2) = 4x^2 - 2x - 6$ )

( $(x + 3)(x - 5) = x^2 - 2x - 15$ )

( $(3y + 1)(3y + 3) = 9y^2 + 12y + 3$ )

$2x^2 + 2x + 2 = 2(x^2 + x + 1)$

$2x^2 - 11x + 5 = (2x - 1)(x - 5)$

$y^2 - 3y - 50 = (xy - 7)(y + 7)$

$y^2 + 2y - 1 = (y - 3)(y + 3)$

$2x^2 + 12x + 2 = (x + 2)(x + 6)$