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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: Phân tích đa thức thành nhân tử `A =(x- 1). (x- 2). (x- 3)+ (x- 1). (x- 2)- (x- 1)`

Toán Lớp 8: Phân tích đa thức thành nhân tử A =(x- 1). (x- 2). (x- 3)+ (x- 1). (x- 2)- (x- 1)

Comments ( 2 )

  1. A=(x-1).(x-2).(x-3)+(x-1).(x-2)-(x-1)
    =(x-1).(x^2-3x-2x+6)+(x-1).(x-2)-(x-1)
    =(x-1).(x^2-5x+6)+(x-1).(x-2)-(x-1)
    =(x-1)(x^2-5x+6+x-2-1)
    =(x-1)(x^2-4x+3)
    =(x-1)(x^2-x-3x+3)
    =(x-1)[x(x-1)-3(x-1)]
    =(x-1)(x-1)(x-3)
    =(x-1)^2(x-3).

  2. Giải đáp:
    (x-1)(x-2)(x-3)+(x-1)(x-2)-(x-1)
    = (x-1)((x-2)(x-3)+x-2-1)
    = (x-1)(x^2-3x-2x+6+x-2-1)
    = (x-1)(x^2-4x+3)
    = (x-1)(x^2-x-3x+3)
    = (x-1)(x(x-1)-3(x-1))
    = (x-1)(x-1)(x-3)
    = (x-1)^2(x-3)

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222-9+11+12:2*14+14 = ? ( )