(4 ĐIỂM) PHÂN TÍCH ĐA THỨC THÀNH NHÂN TỬ
2. x
2
– y2
+ 10x – 6y +16 = x2
+ 10x + 25 – y2
– 6y – 9= (x2
+ 10x + 25) – (y2
+ 6y + 9)= (x + 5)2
– (y + 3)2
= (x + 5 + y + 3)(x + 5 – y – 3)= (x + y + 8)(x – y + 2)2
– y2
+ 10x – 6y +16 = x2
+ 10x + 25 – y2
– 6y – 9= (x2
+ 10x + 25) – (y2
+ 6y + 9)= (x + 5)2
– (y + 3)2
= (x + 5 + y + 3)(x + 5 – y – 3)= (x + y + 8)(x – y + 2)