In numerator x^2 * something has typed what is it

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In numerator x^2 * something has typed what is it

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= {(x²+1)-4}/{(x+2)(x²+1)}

= 1/(x+2) - 4/{(x²+1)(x+2)}

= 1/(x+2) - 4(x-2)/{5(x²+1)} -4/{5(x+2)}

please re-check for any calculation error.

if any doubt please ask.