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

Evaluate : underset(xrarr1)"lim"(x^(4)+4x^(3)-5x^(2))/(x-1)

Simplify: 4x^(3)-2x^(2)+5x-1+8x+x^(2)-6x^(3)+7-6x+3-3x^(2)-x^(3)

Simplyfy: (3x^(2) + 5x - 7)(x -1)- (x^(2) - 2x +3)(x + 4)

lim_(x rarr1)(x^(4)-3x^(2)+2)/(x^(3)-5x^(2)+3x+1)

lim_(x rarr1)((x^(4)-3x^(2)+2)/(x^(3)-5x^(2)+3x+1))

Let the equation x^(5) + x^(3) + x^(2) + 2 = 0 has roots x_(1), x_(2), x_(3), x_(4) and x_(5), then find the value of (x_(2)^(2) - 1)(x_(3)^(2) - 1)(x_(4)^(2) - 1)(x_(5)^(2) - 1).

Solve : (i)" "((x-1)\(x-2)(x-3))/((x+1)(x+2)(x+3))" "(ii) " "(x^(4)+x^(2)+1)/(x^(2)+4x-5)lt0

Solve : (i)" "((x-1)\(x-2)(x-3))/((x+1)(x+2)(x+3))" "(ii) " "(x^(4)+x^(2)+1)/(x^(2)+4x-5)lt0

If x-(1)/(x)=1 , then the value of (x^(4)-(1)/(x^(2)))/(3x^(2)+5x-3) is