Show that: $p^{2} - q^{2} = (p + q) (p - q)$ .

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Solution

R.H.S: $(p + q) (p - q)$
$= p^{2} - p q + p q - q^{2}$ [Using Distributive property]
$= p^{2} - q^{2} =$ L.H.S
Hence, proved.

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