[x^(2)+(1)/(x^(2))]^(12)" a van "

(x^(2)+(1)/(x))^(12)

In the expansion of [2x^(2) – (1)/(x)]^(12) , the term independent of x is

If x is a cube root of unity other than 1 then (x+(1)/(x))^(2)+[x^(2)+(1)/(x^(2))]^(2)+…+[(x^(12))+(1)/(x^(12))]^(2)=

If f(x)=int_(1)^(x^(3))(dt)/(1+t^(4)), then f'(x) is equal (6x((1-5x^(2))^(12)))/((1+x^(12))^(12))) (ii) (6x((1+5x^(2))^(12)))/((1+x^(12))^(2))( (iii) -(6x((1-5x^(2))^(12)))/((1+x^(12))^(2)) (iv) none of these

If x is a cube root of unity other then 1 , then (x+(1)/(x))^(2)+(x^(2)+(1)/(x^(2)))^(2)+.....+(x^(12)+(1)/(x^(12)))^(2)

The coefficient of x ^(24) in (1+ x^(2)) ^(12)(1+ x^(12))(1+ x ^(24)) is-

Find the term independent of x in (2x^(2) - (1)/(x) )^(12) .

(vi) (2x ^ (2) - (1) / (x)) ^ (12)

If (1+x-2x^(2))^(6)=1+a_(1)x+a_(2)x^(2)+….+a_(12)^(x^(12)) , then find the value of a_(2)+a_(4)+a_(6)+….+a_(12) .