2x^(2)-(5)/(6)x+(1)/(12)x

Show that the sum of the coefficients of x^(-6) and x^(-1) in (5x^(2)-(7)/(x^(3)))^(12) is positive.

Factorise: 2x^2-5/6x+1/12

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) .

(x+1)/(2)+(x-1)/(3)=(5)/(12)(x-2)

Simplify (x-3)/(x^(2)-x-6) + (2x-1)/(2x^(2) + 5x-3) - (2x +5)/(x^(2) + 5x +6)

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