(X÷2-2÷x)(2÷5-x÷2)-x×x+2x

Answer:

We have : ( x

\div

2 - 2

\div

x ) ( 2

\div

5 - 2

\div

x ) - x

\times

x + 2x , We simplify it As :

\Rightarrow (\frac{x}{2} - \frac{2}{x}) (\frac{2}{5} - \frac{x}{2}) - x^{2} + 2 x \Rightarrow (\frac{x^{2} - 4}{2 x}) (\frac{4 - 5 x}{10}) - x^{2} + 2 x \Rightarrow (\frac{4 x^{2} - 5 x^{3} - 16 + 20 x}{20 x}) - x^{2} + 2 x \Rightarrow \frac{4 x^{2} - 5 x^{3} - 16 + 20 x}{20 x} + \frac{- 20 x^{3} + 40 x^{2}}{20 x} \Rightarrow \frac{4 x^{2} - 5 x^{3} - 16 + 20 x - 20 x^{3} + 40 x^{2}}{20 x} \Rightarrow \frac{- 25 x^{3} + 44 x^{2} + 20 x - 16}{20 x} \Rightarrow - \frac{25 x^{3} - 44 x^{2} - 20 x + 16}{20 x} \Rightarrow - \frac{25 x^{3} + 6 x^{2} - 50 x^{2} - 8 x - 12 x + 16}{20 x} \Rightarrow - \frac{25 x^{3} + 6 x^{2} - 8 x - 50 x^{2} - 12 x + 16}{20 x} \Rightarrow - \frac{x (25 x^{2} + 6 x - 8) - 2 (25 x^{2} + 6 x - 8)}{20 x} \Rightarrow - \frac{(x - 2) (25 x^{2} + 6 x - 8)}{20 x} (A n s)