" (8) "(1-2x+x^(2))/(1-x^(3))times(1+x+x^(2))/(1+x)

Simplify : (1-2x+x^2)/(1-x^3)xx(1+x+x^2)/(1+x)

IF 3 sin^(-1)((2x)/(1+x^(2)))-4cos^(-1)((1-x^(2))/(1+x^(2)))+ 2tan^(-1)((2x)/(1-x^(2)))=(pi)/3 then x=

Show : ( x^(a^2)/ x^( b^2 ) )^ (1/( a+b)) times ( x^(b^2)/ x^( c^2 )) ^ ( 1/( b+c )) times ( x^(c^2)/ x^( a^2 ) )^ (1/( c+a)) = 1

3 sin ^(-1)((2 x)/(1+x^(2)))-4 cos ^(-1)((1-x^(2))/(1+x^(2))) +2 tan ^(-1)((2 x)/(1-x^(2)))=(pi)/(3) ( then ) x=

Express the following in the lowest terms. ((2x^(2)+1)/(x-1)+(x-1)/(x+1))xx((x^(2)-1)/(2x)):

If x^(2)+3x+1=0 then find x^(3)+(1)/(x^(3)),x^(4)+(1)/(x^(4)),x^(2)-(1)/(x^(2)),x^(2)+(1)/(x^(2))

(i) (2x+3) (3x-5) (ii) x(1+x)^(3) (iii) (sqrtx + 1/x) (x -1/sqrtx) (iv) (x-1/x)^(2) (v) (x^(2) + 1/x^(2))^(3) (vi) (2x^(2) +5x-1) (x-3)