If x + y + z = 10, x3 + y3 + z3 = 75 and xyz = 15, then find the value of x2 + y2 + z2 - xy - yz - zx.
A. 6
B. 3
C. 5
D. 4
Answer: Option B
Solution (By Examveda Team)
x3 + y3 + z3 = (x + y + z)(x2 + y2 + z2 - xy - yz - zx)75 - 3 × 15 = 10(x2 + y2 + z2 - xy - yz - zx)
x2 + y2 + z2 - xy - yz - zx = 3
This Question Belongs to Arithmetic Ability >> Algebra
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