Question

x - 2 \div x(x {}^{2} - 4)" alt=" - x - 2 \div x(x {}^{2} - 4)" align="absmiddle" class="latex-formula">






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Answer 1

Answer:

Step-by-step explanation:

Hello,

First of all we will take any real number x different from 0, -2, +2 as dividing by 0 is not allowed and then we can write

$\dfrac{( - x - 2)}{x(x^2 - 4)}=-\dfrac{x+2}{x(x-2)(x+2)}=\large \boxed{ -\dfrac{1}{x(x-2)}}$

because we know that

$x^2-4=x^2-2^2=(x-2)(x+2)$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you