Respuesta :

keeping in mind that, any expression, can be written as a rational with a denominator of 1, since 3 is really 3/1 and 3/1 is well, just 3, likewise, "anything" is just "anything"/1 and so on.

the reciprocal of a rational, is just the same thing, upside-down, thus

[tex]\bf u^2-s^2\implies \cfrac{u^2-s^2}{1}\implies \stackrel{reciprocal}{\cfrac{1}{u^2-s^2}}[/tex]

hello!

In order to find the reciprocal of a number, we should just flop it over.

If we're asked to find the reciprocal of a fraction, then the numerator & denominator of the fraction switch places.

If we're asked to find the reciprocal of an expression, then we also flop it over, like so:-

[tex]\pmb{u^2-s^2}\longmapsto\pmb{\displaystyle\frac{u^2-s^2}{1} }\longmapsto\pmb{\displaystyle\frac{1}{u^2-s^2} }[/tex]

Explanation of steps:-

First, I turned the expression into a fraction by adding a denominator of 1.

Then, I flopped it over and found the reciprocal.

Hence, the reciprocal of u²-s² is:-

[tex]\bigstar{\boxed{\pmb{\displaystyle\frac{1}{u^2s^2} }}}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

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