Question

Write as a single fraction in its simplest form.
5/x-2 - x-5/2​

Answer 1

Answer:

Step-by-step explanation:

= $\frac{5}{x-2} - \frac{x-5}{2}$

on taking LCM = 2x-4

= $\frac{10-(x-2)(x-5)}{2x-4}$

= $\frac{10-(x2-7x+10)}{2x-4} \\\frac{10-x2+7x-10}{2x-4} \\\frac{-x2+7x}{2x-4}$

Answer 2

Answer:

$\frac{{-x}^{2} + 7x}{2x - 4}$

Step-by-step explanation:

$\frac{5}{x - 2} - \frac{x - 5}{2}$

$\frac{5(2) - (x - 5)(x - 2)}{x - 2(2)}$

$\frac{10 - ( {x}^{2} - 7x + 10) }{2x - 4}$

$\frac{10 - {x}^{2} + 7x + - 10}{2x - 4}$

$\frac{ {-x}^{2} + 7x}{2x - 4}$

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