Question

Разложите на множители
(x+5y)^2-(x-y)^2

Answer 1

(x + 5y)² - (x - y)² = (x + 5y - x + y)(x + 5y + x - y) = 6y(2x + 4y) =

= 6y * 2 * (x + 2y) = 12y(x + 2y)

Answer 2

$(x+5y)^2-(x-y)^2 = \\ = ( ( x+5y)-(x-y)) ( (x+5y) + (x-y)) = \\ =(x + 5y - x + y)(x + 5y + x - y) = \\ = 6y(2x + 4y) = 12y(x + 2y)$