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

Toán Lớp 6: Chứng minh a) a(a – 1 ) + 2( 3 – a) + 3a = a² + 6 b) a(b – c ) + b(c – a) + c( a – b )= 0

Toán Lớp 6: Chứng minh
a) a(a – 1 ) + 2( 3 – a) + 3a = a² + 6
b) a(b – c ) + b(c – a) + c( a – b )= 0

Comments ( 2 )

  1. Giải đáp:
     $a) a.(a-1)+2.(3-a)+3a$
    $⇒ VT= a²-a+6-2a+3a$
         $= a²+(3a-a-2a)+6$
         $= a²+6=VP$ $(ĐPCM)$
    $b) a.(b-c)+b.(c-a)+c.(a-b)$
    $⇒ VT= ab-ac+bc-ab+ac-bc$
             $= (ab-ab)+(ac-ac)+(bc-bc)$
             $= 0+0+0$
             $=0=VP$ $(ĐPCM)$
    $\text{#BEST}$
     

  2. a) a(a – 1 )  + 2( 3 – a) + 3a
    =a^2-a+6-2a+3a
    =a^2+6+(3a-2a-a)
    =a^2+6+0
    =a^2+6(đfcm)
    b) a(b – c ) + b(c – a) + c( a – b )
    =ab-ac+bc-ab+ac-bc
    =(ab-ab)+(ac-ac)+(bc-bc)
    =0+0+0
    =0(đfcm)

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

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