phân tích đa thức thành nhân tử a) 8x^3-y^3-6xy(2x-y) b) (3x+2)^2-2(x-1)(3x+2)+(x-1)^2 17/08/2021 Bởi Alaia phân tích đa thức thành nhân tử a) 8x^3-y^3-6xy(2x-y) b) (3x+2)^2-2(x-1)(3x+2)+(x-1)^2
Đáp án: a, 8x³ – y³ – 6xy(2x – y) =[(2x)³ – y³] – 6xy(2x – y) =(2x – y).[(2x)² + 2x.y + y²] – 6xy(2x – y) =(2x-y).(4x² + 2xy +y²) – 6xy(2x – y) =(2x – y).(4x² + 2xy + y² – 6xy ) =(2x – y).(4x² – 4xy + y²) =(2x – y).(2x – y)² =(2x – y)³ b, (3x + 2)² – 2(x – 1)(3x + 2) + (x – 1)² =[3x + 2 – (x – 1)]² = ( 3x + 2 – x + 1)² = (2x + 3 )² Bình luận
Đáp án: Bạn tham khảo a) `8x³-y³-6xy(2x-y)` `= (2x-y)(4x²+2xy+y²)-6xy(2x-y)` `= (2x-y)(4x²+2xy+y²-6xy)` `= (2x-y)(4x²-4xy+y²)` Bình luận
Đáp án:
a, 8x³ – y³ – 6xy(2x – y)
=[(2x)³ – y³] – 6xy(2x – y)
=(2x – y).[(2x)² + 2x.y + y²] – 6xy(2x – y)
=(2x-y).(4x² + 2xy +y²) – 6xy(2x – y)
=(2x – y).(4x² + 2xy + y² – 6xy )
=(2x – y).(4x² – 4xy + y²)
=(2x – y).(2x – y)²
=(2x – y)³
b, (3x + 2)² – 2(x – 1)(3x + 2) + (x – 1)²
=[3x + 2 – (x – 1)]²
= ( 3x + 2 – x + 1)²
= (2x + 3 )²
Đáp án: Bạn tham khảo
a) `8x³-y³-6xy(2x-y)`
`= (2x-y)(4x²+2xy+y²)-6xy(2x-y)`
`= (2x-y)(4x²+2xy+y²-6xy)`
`= (2x-y)(4x²-4xy+y²)`