solve the system of equations:
(x+y)^3=z
(y+z)^3=x
(z+x)^3=y
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Answer:
We know that,
(x+y)^3= x^3 + y^3 + 3xy(x+y)
So, x^3 + y^3 = z
Similarly,
(y+z)^3 = y^3 + z^3 + 3yz(y+z)
So, y^3 + z^3 = x
Like same,
(z+x)^3 = z^3 + x^3 + 3zx(z+x)
So, z^3 + x^3 =y
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