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Answered by
3
Answer:
32
Step-by-step explanation:
Given:
x+y+z=8
xy+yz+zx=20
(x+y+z)²=8²
x²+y²+z²+2xy+2yz+2zx=64
x²+y²+z²+2(xy+yz+zx)=64
x²+y²+z²+2(20)=64
x²+y²+z²=64-40=24 .......1
We know that,
x³+y³+z³-3xyz
=(x+y+z)(x²+y²+z²-xy-yz-zx)
=(8){24-(xy+yz+zx)} ....from 1
=8(24-20) ....given
=8×4
=32
Hope it helps!!
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Anonymous:
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Answered by
1
Answer:
162
Step-by-step explanation:
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