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Multiply the pair conjugates using the Product of Conjugates Pattern (simplify) (rs-2/5)(rs+2/5)

Answer :

In order to calculate the product of a pair of conjugate terms, we can use the pattern below:

[tex](a+b)(a-b)=a^2-b^2[/tex]

So we have:

[tex]\begin{gathered} (rs-\frac{2}{5})(rs+\frac{2}{5}) \\ =(rs)^2-(\frac{2}{5})^2 \\ =r^2s^2-\frac{4}{25} \end{gathered}[/tex]

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