`1/(x^2-3x+2)+1/(x^2-5x+6)+1/(x^2-4x+3)`

(5x^(2)-2)/(4x^(2)-x+3)<1

Simplify: (x^2-3x+2)(5x-2)-\ (3x^2+4x-5)\ (2x-1)

(5x^(2)-3x+4)/((x+1)(x^(2)-5x+6))=

lim_(x->1)(x^4-3x^2+2)/(x^3-5x^2+3x+1)

Solve: |x^2-1x^2+2x+1 2x^2+3x+1 2x^2+x-1 2x^2+5x-3 2x^2+4x-3 6x^2-x-2 6x^2-7x+2 12 x^2-5x-2|=0.

Simplify: (x^(2)-3x+2)(5x-2)-(3x^(2)+4x-5)(2x-1)

lim_ (x rarr oo) (3x ^ (- 1) + 4x ^ (- 2)) / (5x ^ (- 1) + 6x ^ (- 2))

Check whether the following are quadratic equations : (1) (x-1)^(2)=2(x-3) (2) x^(2)-2x=(-2)(3-x) (3) (x-2)(x+1)=(x-1)(x+3) (4) (x-3)(2x+1)=x(x+5) (5) (2x-1)(x-3)=(x+5)(x-1) (6) x^(2)+3x+1=(x-2)^(2) (7) (x+2)^(3)=2x(x^(2)-1) (8) x^(3)-4x^(2)-x+1=(x-2)^(3)