(x^(3)-1)" can be factoriped an "

(x^(3)-1) can be fa ctorised as

The function f(x)=(x+1)/(x^(3)+1) can be written as the sum of

int(dx)/(sqrt(x)+x^((1)/(3))) can be evaluated by the sqrt(x)+x^((1)/(3)) substitution

If the zero of the polynomial p(x)=8x^(3)-3x^(2)-3x-1 can be written in the form of (a^((1)/(3))+b^((1)/(3))+1)/(c) .where a,b and c are positive integers,then

If (x + y) ^((1)/(3)) + (y + x) ^((1)/(3)) =- ( z + x ) ^((1)/(3)) , then (x ^(3) + y ^(3) + z ^(3)) can be expressed as :

The value of x satisfying the equation (sin^(-1)x)^(3)-(cos^(-1)x)^(3)+(sin^(-1)x)(cos^(-1)x)( sin^(-1)x-cos^(-1)x)=(pi^(3))/(16) can not be equal to :

If the value of lim_(x->0)( ((3/ x)+1)/((3/x)-1))^(1/x) can be expressed in the form of e^(p/q), where p and q are relative prime then find the value of (p+q) .