Phân tích đa thức thành nhân tử: (x – y)^2 + 4(x – y) – 12.
Giải thích
(x – y)2 + 4(x – y) – 12
= (x – y)2 + 4(x – y) + 4 – 16
= (x – y)2 + 2(x – y).2 + 22 – 16
= (x – y + 2)2 – 42
= (x – y + 2 − 4)(x – y + 2 + 4)
= (x – y – 2)(x – y + 6)
(x – y)2 + 4(x – y) – 12
= (x – y)2 + 4(x – y) + 4 – 16
= (x – y)2 + 2(x – y).2 + 22 – 16
= (x – y + 2)2 – 42
= (x – y + 2 − 4)(x – y + 2 + 4)
= (x – y – 2)(x – y + 6)