If x, y and z are variables, verify the cyclic symmetry of the followi

1.	If x, y and z are variables, verify the cyclic symmetry of the following expressions.(1) x(y + z) + y(z + x) + z(x + y)(2) xy(x − y) + yz(y − z) + zx(z − x)(3) x2y(x + y) + y2z(y + z) + z2x(z + x)(4) x3(x + y) + y3(y + z) + z3(z + x)(5) xy2(x − y) + yz2(y − z) + zx2(z − x)
Answer» If x, y and z are variables, verify the cyclic symmetry of the following expressions. (1) x(y + z) + y(z + x) + z(x + y) (2) xy(x − y) + yz(y − z) + zx(z − x) (3) x²y(x + y) + y²z(y + z) + z²x(z + x) (4) x³(x + y) + y³(y + z) + z³(z + x) (5) xy²(x − y) + yz²(y − z) + zx²(z − x)

If x, y and z are variables, verify the cyclic symmetry of the following expressions.(1) x(y + z) + y(z + x) + z(x + y)(2) xy(x − y) + yz(y − z) + zx(z − x)(3) x2y(x + y) + y2z(y + z) + z2x(z + x)(4) x3(x + y) + y3(y + z) + z3(z + x)(5) xy2(x − y) + yz2(y − z) + zx2(z − x)

Answer»

If x, y and z are variables, verify the cyclic symmetry of the following expressions.

(1) x(y + z) + y(z + x) + z(x + y)

(2) xy(x − y) + yz(y − z) + zx(z − x)

(3) x²y(x + y) + y²z(y + z) + z²x(z + x)

(4) x³(x + y) + y³(y + z) + z³(z + x)

(5) xy²(x − y) + yz²(y − z) + zx²(z − x)

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If x, y and z are variables, verify the cyclic symmetry of the following expressions.(1) x(y + z) + y(z + x) + z(x + y)(2) xy(x − y) + yz(y − z) + zx(z − x)(3) x2y(x + y) + y2z(y + z) + z2x(z + x)(4) x3(x + y) + y3(y + z) + z3(z + x)(5) xy2(x − y) + yz2(y − z) + zx2(z − x)

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