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il63 [147K]
3 years ago
10

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

Mathematics
2 answers:
GalinKa [24]3 years ago
8 0

<u>Explanation</u>:

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

(s-t)(\frac{s}{t}) \\ \\=s\times \frac{s}{t}-t\times \frac{s}{t}

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

\\=\frac{s}{1}\times \frac{s}{t}-\frac{t}{1}\times \frac{s}{t}

To multiply frations, we multiply straight across:

=\frac{s\times s}{1\times t}-\frac{t\times s}{1\times t} \\ \\=\frac{s^2}{t}-\frac{ts}{t}

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

\frac{s^2}{t}-s

tigry1 [53]3 years ago
4 0
(s-t)\cdot\dfrac{s}{t}=s\cdot\dfrac{s}{t}-t\cdot \dfrac{s}{t}=\dfrac{s^2}{t}-s
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