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

Toán Lớp 8: a, ( x – 1) ( x^2 + x + 1) = x^3 – 1 b, ( x^3 + x^2y + xy^2 +y^3 ) ( x – y ) = x4 – y4 c, ( 4x^2 – 2xy + y ) . -1/2 xy ab là Chứng

Toán Lớp 8: a, ( x – 1) ( x^2 + x + 1) = x^3 – 1
b, ( x^3 + x^2y + xy^2 +y^3 ) ( x – y ) = x4 – y4
c, ( 4x^2 – 2xy + y ) . -1/2 xy
ab là Chứng Minh
c là Tính
Giúp emmm với ạ =(((

Comments ( 2 )

  1. a, ( x – 1) ( x^2 + x + 1)
    = x^3+x^2+x-x^2-x-1
    = (x^2-x^2)+(x-x)+(x^3-1)
    =x^3-1(đpcm)
    b,( x^3 + x^2y + xy^2 +y^3 ) ( x – y )
    =x^4-x^3y+x^2y^2+xy^3-x^3y-x^2y^2-xy^3-y^4
    =(x^3y-x^3y)+(x^2y^2-x^2y^2)+(xy^3-xy^3)+(x^4-y^4)
    =x^4-y^4(đpcm)
    ( 4x^2 – 2xy + y )  . (-1/2 xy)
    =[4x^2.(-1/2xy)]-[2xy.(-1/2xy)]+[y.(-1/2xy)]
    =(-4x^3y)/2+(2x^2y^2)/2-(xy^2)/2
    =-2x^3y+x^2y^2-(xy^2)/2 

  2. Giải đáp+Lời giải và giải thích chi tiết:
    a)(x-1)(x^2+x+1)=x^3-1
    Xét VT:(x-1)(x^2+x+1)
           =x^3+x^2+x-x^2-x-1
           =x^3+(x^2-x^2)+(x-x)-1
           =x^3-1
           =VP
    ->text{ĐPCM}
    b)(x^3+x^2 y+xy^2+y^3)(x-y)=x^4-y^4
    Xét VT:(x^3+x^2 y+xy^2+y^3)(x-y)
            =x^4+x^3 y+x^2 y^2+xy^3-x^3 y-x^2 y^2-xy^3-y^4
            =x^4+(x^3 y-x^3 y)+(x^2 y-^2)+(xy^3-xy^3)-y^4
            =x^4-y^4
            =VP
    ->ĐPCM
    c)(4x^2-2xy+y)*(-1/2xy)
    =[4x^2 *(-1/2xy)]-[2xy*(-1/2xy)]+[y(-1/2xy)]
    =-2x^3 y+x^2 y^2-1/2xy^2

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