If `(x)/((x+3)^(2))=(1)/(x+3)+(A)/((x+3)^(2))` Then find A

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

Find the value of x for which f(x)=((x-2)^(2)(1-x)(x-3)^(3)(x-4)^(2))/((x+1))<=

Evaluate (x + 2)/((x + 1)(2x+ 3)) - (2x + 3)/((x + 1)(x + 2)) + (3x + 5)/((2x + 3)(x + 2))

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

((x+1)/(x^(2/3)-x^(1/3)+1)-(x-1)/(x+x^(1/2)))^10 find term independent of x

If F(x)=int((1+x)[(1-x+x^(2))(1+x+x^(2))+x^(2)])/(1+2x+3x^(2)+4x^(3)+3x^(4)+2x^(5)+x^(6))dx then find the value of [F(99)-F(3)]

(b) If (x^(2)+1)/(x)=3(1)/(3) and x>1 ; find x^(3)-(1)/(x^(3))

If x=3, find the value of (x^((1)/(3))+x^(-(1)/(3)))(x^((2)/(3))+x^(-(2)/(3))-1)

Observe the following pattern (1x2)+(2x3)=(2x3x4)/(3)(1x2)+(2x3)+(3x4)=(3x4x5)/(3)(1x2)+(2x3)+(3x4)+(4x5)=(4x5x6)/(3) and find the of (1x2)+(2x3)+(3x4)+(4x5)+(5x6)