Fractorise:
`2m(1-n) + 3( 1-n)`

Find the value of the products: (3m-2n)(2m-3n)a t\ m=1,\ n=-1

Find the value of the products: (3m-2n)(2m-3n) at m=1,n=-1

If \ ^m C_1=\ \ ^n C_2 then which is correct a. 2m=n b. 2m=n(n+1) c. 2m=(n-1) d. 2n=m(m-1)

The HCF of (a -1) (a^(3) + m) and (a +1) (a^(3) -n) and (a +1) (a^(2) -n) " is " a^(2) -1 , then the value of m and n are ______

Evaluate: lim_(nrarroo) [(1)/(n+m)+(1)/(n+2m)+(1)/(n+3m)+...+(1)/(n+nm)]

For the natural number m, n, if ( 1- y ) ^(m) (1 + y) ^( n) =1 + a _(1) y + a _(2) y ^(2) + ...+ a _( m + n) y ^( m +n) and a _(1) = a _(2) = 10, then the value of (m+n) is equal to :

If Delta_(m) = |(m -1,n,6),((m-1)^(2),2n^(2),4n -2),((m -1)^(3),3n^(3),3n^(2) - 3n)| , then Sigma_(m =1)^(n) Delta_(m) is equal to

Show that the condition that tha concurrent lines with direction cosines (l_(1).m_(1),n_(1)),(l_(2),m_(2),n_(2))and(l_(3),m_(3),n_(3)) are coplanar is l_(1)(m_(2)n_(3)-m_(3)n_(2))+m_(1)(n_(2)l_(3)-n_(3)l_(2))+n_(1)(l_(2)m_(3)-l_(3)n_(2))=0

IfI_(m , n)=int_0^(pi/2)sin^m xcos^n xdx , Then show that I_(m , n)=(m-1)/(m+n)I_(m-2,n)(m ,n in N) Hence, prove that I_(m , n)=f(x)={((n-1)(n-3)(m-5)(n-1)(n-3)(n-5))/((m+n)(m+n-2)(m+n-4))pi/4 when both m and n are even ((m-1)(m-3)(m-5)(n-1)(n-3)(n-5))/((m+n)(m+n-2)(m+n-4))}