V d :
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Phân tích các đa th c sau thành nhân tứ ử
a) x
2
+ 4x –y
2
+ 4
b) 3x( x- 2y) + 6y( 2y-x)
+
,-
,
./
,,+-
./+
-
./+/-+
+/0+1/0+
./0+-1/0+
./0+/01+
% Bài m i : ớ
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$5
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:
;<=
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5x
3
+ 10x
2
y + 5xy
2
./
+
./+
:
;<=
>?@)$5
x
2
– 4x + 3
:
x
2
– 4x + 3
= x
2
– 2.x.2 + 4 –1
= (x-2)
2
– 1
= ( x – 2 + 1)( x- 2 – 1)
= ( x-1) (x-3)
C
2:
x
2
– 4x + 3
= x
2
–x – 3x + 3
= x ( x-1) – 3( x-1)
= ( x-1)(x-3)
C
3:
x
2
– 4x + 3
= x
2
– 2x + 1 – 2x + 2
= (x
2
– 2x + 1) –( 2x – 2 )
= ( x-1)
2
– 2 ( x-1)
= (x-1) (x-1 –2)
= ( x-1) (x-3)