" nplify: "3x^(-2)y^(-3)z^(2)times5x^(2)times y times z^(3)-:x^(3)y^(2)z^(-1)

Simplify (3x^(-2)y^(-3)z^(2)xx5x^(2)xxyxxz^3 )÷x^(3)y^(2)z^(-1)

2^3x^(+2)y^(+3)z^(5)xx5^(2)x^(-5)y^(-5)div100x^(-4)y^(-3)z^(-1)= _______

Simplify: ((x^(2)-y^(2))^(3) + (y^(2) - z^(2))^(3) + (z^(2) -x^(2))^(3))/((x-y)^(3) + (y-z)^(3) + (z-x)^(3))

Simplify: x^7 y^3 z^(-4) xx x^(-4) y^6 z^(-2) xx x^2 z^3

Verify x times(y+z)=x times y+x times z by taking x=(7)/(9),y=(-2)/(5) and z=(-2)/(3)

Find ((x^(2)-y^(2))^(3) + (y^(2) -z^(2))^(3)+ (z^(2) -x^(2))^(3))/((x-y)^(3) + (y-z)^(3) + (z-x)^(3))

Prove the following : |{:(x,y,z),(x^(2),y^(2),z^(2)),(x^(3),y^(3),z^(3)):}|=|{:(x,x^(2),x^(3)),(y,y^(2),y^(3)),(z,z^(2),z^(3)):}|=xyz(x-y)(y-z)(z-x)

The value of the expression ((x ^(2) - y ^(2)) ^(3) + ( y ^(2) - z ^(2)) ^(3) + (z ^(2) - x ^(2)) ^(3))/((x - y) ^(3) + ( y - z) ^(3) + (z - x ) ^(3)) is