if x+y+z=9 , xy+yz+zx=23 , x^2+y^2+z^2=40 find x3+y3+z3-3xyz
Answers
Answered by
1
Answer:
153
Step-by-step explanation:
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Answered by
0
Formula :-
You must know that
x³ + y³ + z³ - 3xyz
= (x + y + z)(x² + y² + z² - xy - yz - zx)
Calculation :-
Substituting the values in the given formula, we get
x³ + y³ + z³ - 3xyz = (9)(40 - 23)
= 9 × 17
= 153
This is the required answer
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