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

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Step:1 ：First, we factorize the numerator and denominator of the rational expression. The numerator, (2x^2 - 5x - 3) factors to ((2x + 1)(x - 3)). The denominator, (x^2 - 4), is a difference of squares and factors to ((x - 2)(x + 2)).Step:2 ：So, the rational expression becomes (frac{(2x + 1)(x - 3)}{(x - 2)(x + 2)}).Step:3 ：We can&#x27;t simplify this expression any further, so this is the rational expression in standard form.

Answer

Step: 1 ：First, we factorize the numerator and denominator of the rational expression. The numerator, (2x^2 - 5x - 3) factors to ((2x + 1)(x - 3)). The denominator, (x^2 - 4), is a difference of squares and factors to ((x - 2)(x + 2)).Step: 2 ：So, the rational expression becomes (frac{(2x + 1)(x - 3)}{(x - 2)(x + 2)}).Step: 3 ：We can&#x27;t simplify this expression any further, so this is the rational expression in standard form.

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

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