[" 31.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 values of "m" and "n],[" are "]

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 ______

If m and n are degree and order of (1+y_1^2)^(2//3) = y_2 , then the value of "m+n"/"m-n" is

If m and n are degree and order of (1+y_1^2)^(2//3) = y_2 , then the value of "m+n"/"m-n" is

If 1/(1!11!)+1/(3!9!)+1/(5!7!)=(2^n)/(m!) then the value of m + n is

If 1/(1!11!)+1/(3!9!)+1/(5!7!)=(2^n)/(m!) then the value of m + n is

If m and n are degree and other of (1+y_(1)^(2))^(2//3)=y_(2) , then tha value of (m+n)/(m-n) is

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 sum_(r=1)^(10)tan^(-1)(3/(9r^(2)+3r-1))=cot^(-1)(m/n) (where m and n are coprime) then the value of ((2m+n))/8 is

If m = root(3)(15) and n = root(3)(14) , find the value of m - n - (1)/(m^(2) + mn + n^(2))