2*m^(2)+(1)/(m^(2))+2-2m-(2)/(m)

Factorise : m^(2)+(1)/(m^(2))+2-2m-(2)/(m)

Ifm-(1)/(m)=5, find (1)m^(2)+(1)/(m^(2))(pi i)m^(2)-(1)/(m^(2))

Show that the distance between (1,1) and ((2m^(2))/(1+m^(2)) , ((1-m)^(2))/(1+m^(2))) is independent of m.

Let T_(r) and S_(r) be the rth term and sum up to rth term of a series,respectively.If for an odd number n,S_(n)=n and T_(n)=(T_(n)-1)/(n^(2)), then T_(m)(m being even) is (2)/(1+m^(2)) b.(2m^(2))/(1+m^(2)) c.((m+1)^(2))/(2+(m+1)^(2))d(2(m+1)^(2))/(1+(m+1)^(2))

Show that the distance between (1,-1) and ((2m^2)/(1+m^2),(1-m)^2/(1+m^2)) is not depend on m

If m is a real number such that m^(2)+1=3m the value of (2m^(5)-5m^(4)+2m^(3)-8m^(2))/(1+m^(2))

The area of the triangle formed by the lines y=m_(1x)+c_(1),y=m_(2),x+c_(2) and x=0 is (1)/(2)((c_(1)+c_(2))^(2))/(|m_(1)-m_(2)|) b.(1)/(2)((c_(1)-c_(2))^(2))/(|m_(1)+m_(2)|) c.(1)/(2)((c_(1)-c_(2))^(2))/(|m_(1)-m_(2)|) d.((c_(1)-c_(2))^(2))/(|m_(1)-m_(2)|)