(iv)`((2x+1)/(x+1))^(4)-6((2x+1)/(x+1))^(2)+8=0`

(x^(2)+(1)/(x^(2)))-4(x+(1)/(x))+6

Expand using binomial theorem: (i) (1-2x)^(4) " " (ii) (x+2y)^(5) (iii) (x-(1)/(x))^(6) " "(iv) ((2x)/(3)=(3)/(2x))^(5) (v) (x^(2) +(2)/(x))^(6)" "(vi) (1+(1)/(x^(2)))^(4)

Let 0

((x-1)(x+1)(x+4)(x+6))/(7x^(2)+8x+4)>0

solve (x)/(2x+1)>=(1)/(4) and (6x)/(4x-1)>(1)/(2)

If x^(2)-2x+1=0 then find (i)x^(3)+(1)/(x^(3))(ii)x^(4)+(1)/(x^(4))(iii)x^(2)-(1)/(x^(2))(iv)x^(2)+(1)/(x^(2))

(x+(1)/(x))(x-(1)/(x))(x^(2)+(1)/(x^(2))-1)(x^(2)+(1)/(x^(2))+1) is equal to x^(6)-(1)/(x^(6))(b)x^(8)-(1)/(x^(8))(c)x^(6)+(1)/(x^(6))(d)x^(8)+(1)/(x^(8))

Which of the following are quadratic equations? (i) x^(2)-5x+3=0 (ii) 2x^(2)-3sqrt(2)x+6=0 (iii) 3x^(2)-2sqrtx+8=0 (iv) 2x^(2)-3=0 (v) x+(1)/(x)=x^(2) (vi) x^(2)+(1)/(x^(2))=4(1)/(4)

lim_(x to 1/2)((8x-3)/(2x-1)-(4x^(2)+1)/(4x^(2)-1)) .