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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. $\text{ Ta có : }$
    $\text{ VT = ( a – b ) – ( b + c ) + ( c – a ) – ( a – b – c ) }$
           $\text{ = a – b – b – c + c – a – a + b + c }$
           $\text{ = ( a – a – a ) + ( -b – b + b ) + ( -c + c + c ) }$
           $\text{ = -a + ( -b ) + c }$
           $\text{ = -a – b + c }$
           $\text{ = – ( a + b – c )  = VP     ( đpcm ) }$
     

  2. Giải đáp:
     $⇒ VT= (a-b)-(b+c)+(c-a)-(a-b-c)$
    $= a-b-b-c+c-a-a+b+c$
    $= (a-a-a)+(b-b-b)+(c-c+c)$
    $= -a-b+c=VP = -(a+b-c)$ $(đpcm)$
    $Vậy$ $chứng$ $minh$ $đc$ $(a-b)-(b+c)+(c-a)-(a-b-c)=-(a+b-c)$
     

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