`((2x-1)(x+3)(2-x)(1-x)^(2))/(x^(4)(x+6)(x-9)(2x^(2)+4x+9))<0`

(x+4)/(x^(2)-9)-(2)/(x+3)<(4x)/(3x-x^(2))

Identify polynomials in the following: f(x)=4x^(3)-x^(2)-3x+7g(x)=2x^(3)-3x^(2)+sqrt(x)-1p(x)=(2)/(3)x^(2)-(7)/(4)x+9q(x)=2x^(2)-3x+(4)/(x)+2h(x)=x^(4)-x^((2)/(3))+x-1f(x)=2+(3)/(x)+4x

(x-1)/(3)+(2x+5)/(6)=(3x-6)/(9)-(2x-5)/(2)

(x+1)(x+2)(x+6)=x^(3)+9x^(2)+4(7x-1)

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

lim_(x rarr3)(x^(2)-9)/(x^(3)-6x^(2)+9x+1)

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

If 2sin^(-1)((9-4x^(2))/(9+4x^(2)))+3cos^(-1)((12x)/(9+4x^(2)))+tan^(-1)((12x)/(9-4x^(2)))=lambda(pi)/(2) for x=(-17)/(13) "then" lambda

If 2sin^(-1)((9-4x^(2))/(9+4x^(2)))+3cos^(-1)((12x)/(9+4x^(2)))+tan^(-1)((12x)/(9-4x^(2)))=(lambda pi)/(2) for x=(-17)/(13) then lambda

(5x)/(3)-(x-2)/(3)=(9)/(4)-(1)/(2)(x-(2x-1)/(3))