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

Toán Lớp 8: phân tích đa thức thành nhân tử a^6 – a^4 + 2a^3 + 2a^2

Toán Lớp 8: phân tích đa thức thành nhân tử
a^6 – a^4 + 2a^3 + 2a^2

Comments ( 2 )

  1. Giải đáp:
    a^6-a^4+2a^3+2a^2
    =a^2(a^4-a^2+2a+2)
    =a^2(a+1)(a^3-a^2+2)
    =a^2(a+1)[(a+1)(a^2-2a+2)]
    =a^2(a+1)^2(a^2-2a+2)

  2. \(a^6-a^4+2a^3+2a^2\)
    \(\Rightarrow a^2.\left(a^4-a^2+2a+2\right)\)
    \(\Rightarrow\) \(a^2.\left(a^2.\left(a^2-1\right)+2\left(a+1\right)\right)\)
    \(\Rightarrow a^2.\left(a^2.\left(a-1\right).\left(a+1\right)+2\left(a+1\right)\right)\)
    \(\Rightarrow a^2.\left(a+1\right)\left(a^2.\left(a-1\right)+2\right)\)
    \(\Rightarrow a^2.\left(a+1\right).\left(a^3-a^2+2\right)\)
    \(\Rightarrow a^2.\left(a+1\right).\left(a^3+a^2-2a^2+2\right)\)
    \(\Rightarrow a^2.\left(a+1\right).\left(a^2.\left(a+1\right)-2\left(a^2-1\right)\right)\)
    \(\Rightarrow a^2.\left(a+1\right).\left(a^2.\left(a+1\right)-2\left(a-1\right).\left(a+1\right)\right)\)
    \(\Rightarrow a^2.\left(a+1\right).\left(a+1\right).\left(a^2-2\left(a-1\right)\right)\)
    \(\Rightarrow a^2.\left(a+1\right).\left(a+1\right).\left(a^2-2a+2\right)\)
    \(\Rightarrow a^2.\left(a+1\right)^2.\left(a^2-2a+2\right)\)

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