if x = "-2" , y = 1 and Z = 3 , then verify , a) ( x+y+z)^2=x^2+y^2+y^2+z^2+2xy + 2yz+2zx
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Answer:
4
Step-by-step explanation:
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Answered by
0
Answer:
Step-by-step explanation:
Given that,
x = - 2, y = 1 and z = 3.
L.H.S. = ( x + y + z )² = ( -2 + 1 + 3 )² = (4 - 2 )² = (2)² = 4.
R.H.S. = x² + y²+z² + 2xy + 2yz + 2zx
= (-2)² + (1)² + (3)² + 2 (-2)(1) + 2 (1)(3) + 2 (3)(-2)
= 4 + 1 + 9 + (-4) + 6 + (-12)
= 4 + 1 +9 - 4 + 6 - 12 (∵ + × - = - )
=20 - 16 (∵ 4 + 1 +9 + 6 = 20 and - 4 - 12 = - 16 )
= 4 .
∴ L.H.S. = R.H.S. is proved.
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