Phân tích thành nhân tử: (2xy + 1)^2 - (2x + y)^2
Phân tích thành nhân tử: (2xy + 1)2 – (2x + y)2.
(2xy + 1)2 – (2x + y)2
= (2xy + 1 + 2x + y)(2xy + 1 – 2x – y)
= [(2xy – y) – (2x – 1)][(2xy + y) + (2x + 1)]
= [y(2x – 1) – (2x – 1)][y(2x + 1) + (2x + 1)]
= (2x – 1)(y – 1)(2x + 1)(y + 1).