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

Toán Lớp 8: làm phép chia 1) (x^6 – 2x^4 + 6x^3 – 4x^2) : 6x^2 2) (-2x^5 = 3x^2 – 4x^3) : 2x^2 3) (15x^3 – 10x^2 + x – 2) : (x – 2) 4) (2x^4 -3x^3

Toán Lớp 8: làm phép chia
1) (x^6 – 2x^4 + 6x^3 – 4x^2) : 6x^2
2) (-2x^5 = 3x^2 – 4x^3) : 2x^2
3) (15x^3 – 10x^2 + x – 2) : (x – 2)
4) (2x^4 -3x^3 – 3x^2 + 6x – 2) : (x^2 – 2)

Comments ( 1 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    1) (x^6 – 2x^4  + 6x^3 – 4x^2 ) : 6x^2
    =x^6 : 6x^2 – 2x^4 : 6x^2   + 6x^3 : 6x^2  – 4x^2 : 6x^2
    =1/6 x^3 -1/3 x^2 +x -2/3
    2) (-2x^5 – 3x^2 – 4x^3 ) : 2x^2
    =-2x^5 : 2x^2 – 3x^2 : 2x^2 – 4x^3 : 2x^2 
    =-x^3 -3/2 -2x
    3) (15x^3 – 10x^2 + x – 2) : (x – 2)
    =[(15x^3 -30x^2 ) +(20x^2 -40x ) +(41x-82)+80]:(x-2)
    =[15x^2 (x-2)+20x(x-2)+41(x-2)+80]:(x-2)
    =[(x-2)(15x^2 +20x+41)+80]:(x-2)
    =15x^2 +20x+41(Dư:80)
    4) (2x^4 -3x^3 – 3x^2 + 6x – 2) : (x^2 – 2)
    =[(2x^4 -4x^2 )+(-3x^3 +6x)+(x^2 -2)]:(x^2 -2)
    =[2x^2 (x^2 -2)-3x(x^2 -2 )+(x^2 -2)]:(x^2 -2)
    =(x^2 -2)(2x^2 -3x+1):(x^2 -2)
    =2x^2 -3x+1
    (Bài tham khảo)

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