Math, asked by vibhanshu8441, 1 year ago

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Answered by Anonymous
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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Answered by amitvikram1
1

Answer:

162

Step-by-step explanation:

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