Which of the following is equivalent to (s - t)(s / t) an why.
s / t - s
s / t - st
s^2 / t - s
s^2 / t - s / t^2
^ = power of thank you if anyone can help

Respuesta :

answer is s^2 / t - s (third choice)

 (s - t)(s / t) 
 = s^2/t - st/t
 = s^2/t - s

The expression is equivalent to the [tex]\frac{s-t}{(\frac{s}{t}) }[/tex] is [tex]= \frac{s^2}{t-2}[/tex].

Given that,

  • The expression is [tex]\frac{s-t}{(\frac{s}{t}) }[/tex].

We need to find the equation that should be equivalent to the above one.

So for that, the calculation is as follows:

[tex]= \frac{s-t}{(\frac{s}{t}) }\\\\= \frac{s^2}{t} - \frac{st}{t}\\\\ = \frac{s^2}{t-s}[/tex]

Thus we can say that the third option is correct

And, the rest of the options are wrong.

Therefore we can conclude that the expression is equivalent to the [tex]\frac{s-t}{(\frac{s}{t}) }[/tex] is [tex]= \frac{s^2}{t-2}[/tex].

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