Show that m-1 is a factor of `m^(21)-1`

Prove that x^(m)+1 is a factor of x^(mn) - 1 if n is even.

If (x-1) is a factor of (x^(3)-m) , then the value of m is :

If sectheta + tantheta = m, show that : sin theta = (m^(2) - 1 )/(m^(2) + 1)

Check whether (l+m+n) is a factor of the determinant |{:(1+m,m+n,n+1),(" "n," "1," "m),(" "2," "2," "2):}| or not. Give reason.

Check whether (l+m+n) is a factor of the determinant |{:(1+m,m+n,n+1),(" "n," "1," "m),(" "2," "2," "2):}| or not. Give reason.

Solve the following quadratic equations by factorization. 7m^(2)=21m

Solve the following quadratic equations by factorization. 7m^(2)=21m

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

"21m^(2)-:7m

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