If x + y + z = 2, xy + yz + zx = -11, and xyz = -12, then what is the value of x³ + y³ + z³?

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x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz − xz) x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz − xz)
When x^3+y^3+z^3=3xyz for positive x, y, z [Teacher vs. Student] #shorts When x^3+y^3+z^3=3xyz for positive x, y, z [Teacher vs. Student] #shorts
31. If x + y + z = 0, then what is the value of 𝑥^2/𝑦𝑧+𝑦^2/𝑥𝑧+𝑧^2/𝑥𝑦 ? 31. If x + y + z = 0, then what is the value of 𝑥^2/𝑦𝑧+𝑦^2/𝑥𝑧+𝑧^2/𝑥𝑦 ?
(x+y)³=x³+y³+3xy(x+y) (x+y)³=x³+y³+3xy(x+y)
Title : (x+y+z) ^2 - (x-y-z) ^2 simplify Title : (x+y+z) ^2 - (x-y-z) ^2 simplify
How to prove that. (x - y)^3=x^3 - y^3 - 3xy(x - y) How to prove that. (x - y)^3=x^3 - y^3 - 3xy(x - y)
Proof of (x+y+z)^2=x^2+y^2+2(xy+yz+zx) | Pavan Education Proof of (x+y+z)^2=x^2+y^2+2(xy+yz+zx) | Pavan Education
How To Prove That (x+y)^3=x^3+y^3+3xy(x+y) How To Prove That (x+y)^3=x^3+y^3+3xy(x+y)