If  x + y + z  =  1, xy + yz + zx  =  −1  and  xyz  =  −1 , the value of  x3 + y3 + z3  = Select an answerA1B2C4D–1

Question

If  x + y + z  =  1, xy + yz + zx  =  −1  and  xyz  =  −1 , the value of  x3 + y3 + z3  = Select an answerA1B2C4D–1
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Solution 1

The solution to this problem can be found by using the formula for the sum of cubes, which is a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - bc - ca).

Given that x + y + z = 1, xy + yz + zx = -1, and xyz = -1, we can substitute these values into the formula.

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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If  x + y + z  =  1, xy + yz + zx  =  −1  and  xyz  =  −1 , the value of  x3 + y3 + z3  = Select an answerA1B2C4D–1

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