proof that : (x+y+z)^2 = (x+y+z)(x+y+z)
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Answer:
Step-by-step explanation:
L.H.S. :
= (x+y+z)^2
= x^2 + y^2 + z^2 + 2(xy + yz + xz)
= x^2 + y^2 + z^2 + 2xy + 2yz + 2xz
R.H.S. :
= (x+y+z)(x+y+z)
= x^2 + xy + xz + xy + y^2 + yz + xz + yz + z^2
= x^2 + y^2 + z^2 + 2xy + 2yz+ 2xz ==> L.H.S.
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