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

Toán Lớp 8: chứng minh 2 đẳng thức bằng nhau a) a . ( b – c ) – b . ( a + c ) + c ( a – b ) = -2bc b) a . ( 1 – b ) + a . ( $a^{2}$ – b ) giúp ạ h

Toán Lớp 8: chứng minh 2 đẳng thức bằng nhau
a) a . ( b – c ) – b . ( a + c ) + c ( a – b ) = -2bc
b) a . ( 1 – b ) + a . ( $a^{2}$ – b )
giúp ạ hứa vote 5 sao

Comments ( 2 )

  1. ~ Bạn tham khảo ~
    a, VT = a . ( b – c ) – b . ( a + c ) + c ( a – b )
    =ab-ac-ab-bc+ac-bc
    =-2bc=VP
    b,VT=a(1-b)+a(a^2-1)
    =a-ab+a^3-a
    =-ab+a^2
    =a(a^2-b)=VP

  2. #Sad
    \text{→Chứng minh:}
    a)
    a(b-c)-b(a+c)+c(a-b) = -2bc
    \text{Ta có:}
    \text{VT} = a(b-c)-b(a+c)+c(a-b)
    = ab-ac-ab-bc+ac-bc
    = (ab-ab)+(-ac+ab)-(bc+bc)
    = -2bc = \text{VP} \text{(đpcm)}
    b)
    a(1-b)+a(a^2-1) = a(a^2-b)
    \text{Ta có:}
    \text{VT} = a(1-b)+a(a^2-1)
    = a-ab+a^3-a
    = a^3-ab
    = a(a^2-b) = \text{VP} \text{(đpcm)}
     

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

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