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

Toán Lớp 8: (x+1)*(1 +x – x^2 + x^3 -x^4)-(x-1)*(1 +x+x^2 +x^3 +x^4)

Toán Lớp 8: (x+1)*(1 +x – x^2 + x^3 -x^4)-(x-1)*(1 +x+x^2 +x^3 +x^4)

Comments ( 2 )

  1. Giải đáp:
    -2x^5+2x+2 
    Lời giải và giải thích chi tiết:
    \qquad (x+1)*(1 +x – x^2 + x^3 -x^4)-(x-1)*(1 +x+x^2 +x^3 +x^4)
    =x(1 +x – x^2 + x^3 -x^4)
    +1.(1 +x – x^2 + x^3 -x^4)
    -x(1 +x+x^2 +x^3 +x^4)
    +1.(1 +x+x^2 +x^3 +x^4)
    =x+x^2-x^3+x^4-x^5+1+x-x^2+x^3-x^4
    -x-x^2-x^3-x^4-x^5+1+x+x^2+x^3+x^4
    =(-x^5-x^5)+(x^4-x^4-x^4+x^4)+(-x^3+x^3-x^3+x^3)+(x^2-x^2-x^2+x^2)+(x+x-x+x)+1+1
    =-2x^5+2x+2
    Vậy: (x+1)*(1 +x – x^2 + x^3 -x^4)-(x-1)*(1 +x+x^2 +x^3 +x^4)=-2x^5+2x+2

  2. Giải đáp:
    $\\$
    (x+1) (1+x-x^2 +x^3 – x^4) – (x-1) (1+x+x^2 +x^3+x^4)
    = (x + x^2 – x^3 + x^4 – x^5 + 1+x-x^2 +x^3 – x^4) – (x +x^2 +x^3 +x^4 +x^5 – 1 -x – x^2 – x^3 – x^4)
    = (2x – x^5 + 1) – (x^5 – 1)
    = 2x – x^5 + 1 – x^5 + 1
    = 2x + (-x^5 – x^5) + (1+1)
    = 2x – 2x^5 + 2
     

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