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

Toán Lớp 12: Chứng minh đẳng thức sau (x +y +z) ²=x ²+y ²+z ²+2xy+2xz+2yz

Toán Lớp 12: Chứng minh đẳng thức sau
(x +y +z) ²=x ²+y ²+z ²+2xy+2xz+2yz

Comments ( 2 )

  1. (x+y+z)^2
    =[(x+y)+z]^2
    =(x+y)^2+2.(x+y).z+z^2
    =x^2+2xy+y^2+2zx+2yz+z^2
    =x^2+y^2+z^2+2xy+2yz+2zx
     

  2. VP=x²+y²+z²+2xy+2xz+2yz
          =(x²+2xy+y²)+(2xz+2yz)+z²
          =(x+y)²+2z(x+y)+z²
          =(x+y+z)²
          =VT
    ⇒đpcm

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

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