If `T_0,T_1, T_2, ,T_n` represent the terms in the expansion of `(x+a)^n ,` then find the value of `(T_0-T_2+T_4-)^2+(T_1-T_3+T_5-)^2n in Ndot`

If T_0, T_1, T_2, … T_n represent the terms in the expansion of (x+a)^n , then the value of (T_0-T_2+T_4-T_6+…)^2+(T_1-T_3 +T_5-….)^2 is

If T_(0),T_(1),T_(2),...,T_(n) represent the terms in the expansion of (x+a)^(n), then find the value of (T_(0)-T_(2)+T_(4)-...)^(2)+(T_(1)-T_(3)+T_(5)-...)^(2)n in N

If t_0,t_1, t_2,...,t_n are the terms in the expansion of (x+a)^n then prove that (t_0-t_2+t_4-...)^2+(t_1-t_3+t_5-...)^2=(x^2+a^2)^n .

If T_2/T_3 in the expansion of (a + b)^n and T_3/T_4 in the expansion of (a + b)^(n+3) are equal, then n is equal to

Find the term(s) indicated in the following case : T_(n)=(T_(n-1))/(T_(n-2)),(ngt2),T_(1)=1,T_(2)=2, T_(6) .

Find the value of ln(int_(0)^(1)e^(t^(2)+t)(2t^(2)+t+1)dt)