Simplify :` z^2+11z^2-5z-11z^2+5z`

Simplify combining like terms: -z^(2) +13z^(2) - 5z + 7z^(3) -15z

Simplify: (15x^(5)y^(-2)z^(4))/(5x^(3)y^(-3)z^(2))

If |z|=2 and locus of 5z-1 is the circle having radius a and z_1^2+z_2^2-2z_1z_2 cos theta=0, then |z_1|:|z_2|= (A) a (B) 2a (C) a/10 (D) none of these

Suppose z is any root of 11z^8+20iz^7+10iz-22=0 where i=sqrt-1 .Then, S=|z|^2+|z|+1 satisfies

Given z is a complex number z^(2)-z-|z|^(2)+(64)/(|z|^(5))=0 and Re(z)!=(1)/(2) Then |z| is less than :

(z^(2)+13)(z^(2)-5)= ____

(z+5)^(2)=z^(2)+25