Question

solve the system of equations:
(x+y)^3=z
(y+z)^3=x
(z+x)^3=y

Answer 1

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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