`(2x+1)(3x-2)=6(x+1)(x-2)`

prove that |(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(1-x),x(x-1)(x-2),x(x+1)(x-1))|=6x^(2)(1-x^(2))

Solvef or x,(1)/((x-1)(x-2))+(1)/((x-2)(x-3))+(1)/((x-3)(x-4))=(1)/(6)

Solve for x : (1)/((x-1)(x-2))+(1)/((x-2)(x-3))+(1)/((x-3)(x-4))=(1)/(6)

Solve (2x-3)/(x-1)+1=(6x-x^(2)-6)/(x-1)

(x-1)/(x-2)-(x-2)/(x-3)=(x-5)/(x-6)-(x-6)/(x-7)

(2(x-3))/(x(x-6))<=(1)/(x-1)

If x^(4) - 3x^(2) - 1 = 0 , then the value of (x^(6)-3x^(2)+(3)/(x^(2))-(1)/(x^(6))+1) is :

If (x^(2)-2x-9)/((x^(2)+x+6)(x+1))=(2x-3)/(x^(2)+x+6)+(A)/(x+1) , then A is ___________.

x=(6-sqrt(32))/(2) thenfindthevalueof (x^(3)+(1)/(x^(3)))-6(x^(2)+(1)/(x^(2)))+(x+(1)/(x))

Find the greatest and least value of y= x^(3)-3x^(2) + 6x-2 on [-1,1] y is differentiable function of x and y'(x) = 3x^(2) -6x + 6= 3(x^(2) -2x+2) =3(x-1)^(2) gt 0 .