[ 5/2 x² y³]*(-y²z)*(-2x³yz⁷)*[-1/5xyz]
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1
Answer:
Given x + y + z = 10
(x + y + z) ² = 100
x ² + y ² + z ² + 2 (xy + xz + yz) = 100--------------(1)
Now x ² + y ² + z ² = 38
implies xy + xz + yz = 31
or (xy + xz + yz) ² = (31) ²
using identity x ³ + y ³ + z ³ - 3xyz = (x + y + z) (x ² + y ² + z ²-xy -xz- yz)
= 10 × [38- 31]
= 70
Now x ³ + y ³ + z ³ = 160
or 160- 3xyz = 70
3xyz = 90
xyz = 30
Answered by
2
Answer:
(x + y + z) ² = 100
x ² + y ² + z ² + 2 (xy + xz + yz) = 100--------------(1)
Now x ² + y ² + z ² = 38
implies xy + xz + yz = 31
or (xy + xz + yz) ² = (31) ²
using identity x ³ + y ³ + z ³ - 3xyz = (x + y + z) (x ² + y ² + z ²-xy -xz- yz)
= 10 × [38- 31]
= 70
Now x ³ + y ³ + z ³ = 160
or 160- 3xyz = 70
3xyz = 90
xyz = 30
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