Expression [tex]\frac{2x}{x-2}-\frac{x+5}{x+3} =\frac{x^{2} +3x+10}{(x-2)(x+3)}[/tex]
Thus, option B is correct.
Given that,
[tex]\frac{2x}{x-2}-\frac{x+5}{x+3}[/tex]
[tex]=\frac{2x(x+3)-(x+5)(x-2)}{(x-2)(x+3)} \\\\=\frac{2x^{2} +6x-(x^{2} +3x-10)}{(x-2)(x+3)} \\\\=\frac{x^{2} +3x+10}{(x-2)(x+3)}[/tex]
Thus, after solving
We get, [tex]\frac{2x}{x-2}-\frac{x+5}{x+3} =\frac{x^{2} +3x+10}{(x-2)(x+3)}[/tex]
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