If X + Y + Z = 14 and xy+yz+zx=3 then find x³+y³+z³-3xyz
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Answered by
5
Step-by-step explanation:
(x+y+z)²=x²+y²+z²+2(xy+yz+zx)
(14)²=x²+y²+z²+2.3
196=x²+y²+z²=6
x²+y²+z²=190
x³+y³+z³-3xyz
=(x+y+z)(x²+y²+z²-xy-zx-zx)
=14(190-3)
=14×187
=2618
Answered by
6
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