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

Toán Lớp 6: Chứng minh rằng(a -b) -(b + c) + (c -a) -(a -b -c) = -(a + b -c)

Toán Lớp 6: Chứng minh rằng(a -b) -(b + c) + (c -a) -(a -b -c) = -(a + b -c)

Comments ( 2 )

  1.     ( a – b ) – ( b + c ) + ( c – a ) – ( a – b – c )
    = a – b – b – c + c – a – a + b + c
    = ( a – a – a ) – ( b + b – b ) – ( c – c – c )  
    = -a – b + c
    = – ( a + b – c )
     

  2. Có: (a – b) – (b + c) + (c – a) – (a – b -c)
       = a – b – b – c + c – a – a + b + c
       = (a – a – a) + (-b – b + b) + (-c + c + c)
       = -a – b + c (1)
    Có: -(a + b – c)
       = -a – b + c (2)
    Từ (1)(2) ⇒ (a – b) – (b + c) + (c – a) – (a – b – c) = -(a + b – c)
    Chúc bạn học tốt
     

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