Question

How is (s-t)(s/t) equivalent to (s^2/t) -s

Answer 1

Step-by-step explanation:

For the expression (s-t)(s/t) we first use the distributive property:

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We can write both s and t as fractions by using a denominator of 1:

`\\=(s)/(1)* (s)/(t)-(t)/(1)* (s)/(t)`

To multiply frations, we multiply straight across:

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In the second fraction, st/t, the t will divide out, or cancel, since it is in both the numerator and denominator:

`(s^2)/(t)-s`

Answer 2

`(s-t)\cdot(s)/(t)=s\cdot(s)/(t)-t\cdot (s)/(t)=(s^2)/(t)-s`