The value of `(2^(m).3^(2m-n).5^(m+n+3).6^(n+1))/(6^(m+1).10^(n+3).15^(m))`

The value of (2^(m+1).3^(2m-n).5^(m+n).6^(n))/(6^m.10^(n+2).15^(m)) is equal to

Simplify : (2^n.6^(m+1).10^(m-n).15^(m+n-2))/(4^m.3^(m+n).25^(m-1)) .

Evaluate : (2^(n)xx6^(m+1)xx10^(m-n)xx15^(m+n-2))/(4^(m)xx3^(2m+n)xx25^(m-1))

Evaluate: (2^nxx6^(m+1)xx10^(m-n)xx15^(m+n-2))/(4^mxx3^(2m+n)xx25^(m-1))

The value of .^(n)C_(1)+.^(n+1)C_(2)+.^(n+2)C_(3)+"….."+.^(n+m-1)C_(m) is equal to a. .^(m+n)C_(n) - 1 b. .^(m+n)C_(n-1) c. .^(m)C_(1) + ^(m+1)C_(2) + ^(m+2)C_(3) + "…." + ^(m+n-1)C_(n) d. .^(m+n)C_(m) - 1

((m-n)^(3)+(n-r)^(3)+(r-m)^(3))/(6(m-n)(n-r)(r-m))=?

If A=[(5, -6),(1,-1)] then the value of ("det"(A^(m)-5A^(m-1)))/("det"(A^(n)-5A^(n-1)))(m, "n" in N) is

Evaluate sum_(m=1)^(oo)sum_(n=1)^(oo)(m^(2)n)/(3^(m)(n*3^(m)+m*3^(n))) .

Evaluate sum_(m=1)^(oo)sum_(n=1)^(oo)(m^(2)n)/(3^(m)(n*3^(m)+m*3^(n))) .