Rewrite the rational expression (frac{3x^2 + 5x - 2}{x^2 - 4}) in standard form.

Question

Accepted Answer

Step:1 ：First, we factor both the numerator and the denominator. The numerator factors into ((3x-1)(x+2)) and the denominator factors into ((x-2)(x+2)).Step:2 ：Substituting the factored forms back into the expression, we get (frac{(3x-1)(x+2)}{(x-2)(x+2)}).Step:3 ：We then cancel out the common factor ((x+2)) from the numerator and the denominator, which leaves us with (frac{3x-1}{x-2}).

Answer

Step: 1 ：First, we factor both the numerator and the denominator. The numerator factors into ((3x-1)(x+2)) and the denominator factors into ((x-2)(x+2)).Step: 2 ：Substituting the factored forms back into the expression, we get (frac{(3x-1)(x+2)}{(x-2)(x+2)}).Step: 3 ：We then cancel out the common factor ((x+2)) from the numerator and the denominator, which leaves us with (frac{3x-1}{x-2}).

Rewrite the rational expression \(\frac{3x^2 + 5x - 2}{x^2 - 4}\) in standard form.

Answer

Popular Problems