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

Toán Lớp 8: Chứng minh rằng : $x^{2}$ + $y^{2}$+$z^{2}$+2xy-2yz-2zx = ( x+y-z)$^{2}$

Toán Lớp 8: Chứng minh rằng :
$x^{2}$ + $y^{2}$+$z^{2}$+2xy-2yz-2zx = ( x+y-z)$^{2}$

Comments ( 2 )

  1.  VP =(x+y-z)^2
    =[(x+y)-z]^2
    =(x+y)^2-2(x+y).z+z^2
    =x^2+2xy+y^2-2xz-2yz+z^2
    =x^2+y^2+z^2+2xy-2yz-2zx= VT
    => ĐPCM.

  2. $x^2+y^2+z^2+2xy-2yz-2zx=(x+y-z)^2$
    $VT=(x+2xy+y^2)-2yz-2zx+z^2$
    $VT=(x+y)^2-2z(x+y)+z^2$
    $VT=(x+y-z)^2=VP(đpcm)$

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