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

Toán Lớp 8: Phân tích đa thức thành nhân tử: $x^5+1$

Toán Lớp 8: Phân tích đa thức thành nhân tử:
$x^5+1$

Comments ( 2 )

  1. $x^5+1$
    $=x^5+x^4−x^4-x^3+x^3+x^2−x^2-x+x+1$
    $=x^4(x+1)-x^3(x+1)+x^2(x+1)-x(x+1)+(x+1)$
    $=(x+1)(x^4-x^3+x^2-x+1)$

  2. x^5+1
    =x^5-x^4+x^4-x^3+x^3+x^2-x^2+x-x+1
    =(x^5+x^4)-(x^4+x^3)+(x^3+x^2)-(x^2+x)+(x+1)
    =x^4(x+1)-x^3(x+1)+x^2(x+1)-x(x+1)+(x+1)
    =(x+1)(x^4-x^3+x^2-x+1)

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