Algebra

Rational Functions

Algebraic Expressions - Fractions

         

Which of the following is the simplified expression of

x23x+2x2x6×x24x+3x24? \frac{x^2 - 3x + 2}{x^2 - x - 6} \times \frac{x^2 - 4x + 3}{x^2 - 4}?

Simplify

1x(x+2)+1(x+2)(x+4)+1(x+4)(x+6)+1(x+6)(x+8). \frac{1}{x (x+2)} + \frac{1}{(x+2) (x+4)} + \frac{1}{(x+4) (x+6)} + \frac{1}{(x+6) (x+8)}.

Simplify

11111x. 1 - \frac{1}{1 - \dfrac{1}{1-x}}.

If real numbers xx and yy satisfy x3+y3x3y3=79, \frac{x^3+y^3}{x^3-y^3} = \frac{7}{9}, what is the value of x+yxy? \frac{x+y}{x-y}?

Which of the following is the simplified expression of

2rr2s2+1r+s1rs? \frac{2r}{r^2 - s^2} + \frac{1}{r+s} - \frac{1}{r-s} ?

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