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

Toán Lớp 8: (a^2 + b^2 + ab)^2 – a^2b^2 – b^2c^2 – c^2a^2 phân tích đa thức thành nhân tử

Toán Lớp 8: (a^2 + b^2 + ab)^2 – a^2b^2 – b^2c^2 – c^2a^2
phân tích đa thức thành nhân tử

Comments ( 2 )

  1. (a^2+b^2+ab)^2-a^2b^2-b^2c^2-c^2a^2
    =(a^2+b^2+ab)^2-(ab)^2-(bc)^2-(ac)^2
    =[(a^2+b^2+ab)^2-(ab)^2]+[-(bc)^2-(ac)^2]
    =(a^2+b^2+ab-ab)(a^2+b^2+ab+ab)+(-bc-ac)(-bc+ac)
    =(a^2+b^2)(a+b)^2-c(a+b).c(a-b)
    =(a^2+b^2)(a+b)^2-c^2(a^2-b^2)
    =(a^2+b^2)[(a+b)^2-c^2]
    =(a^2+b^2)(a+b+c)(a+b-c)

  2. (a^2 + b^2 + ab)^2 – a^2b^2 – b^2c^2 – c^2a^2
    = (a²+b²+ab)²-(ab)²-c(b²+a²)
    =(a²+b²+ab-ab)(a²+b²+2ab)-c(a²+b²)
    =(a²+b²)(a+b)²-c(a²+b²)
    =(a²+b²)((a+b)²-c²))
    =(a²+b²)(a+b-c)(a+b+c)

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