Solve: p^2 q^2-6 q r+9 r^2=(p q)^2-2 p q 3 r+(3 r)^2 - Vidyadip

Question

Solve:
$p^2 q^2-6 q r+9 r^2=(p q)^2-2 \times p q \times 3 r+(3 r)^2 $

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Answer

$p^2 q^2-6 q r+9 r^2=(p q)^2-2 \times p q \times 3 r+(3 r)^2 $
$ =(p q-3 r)^2 $
$ =(p q-3 r)(p q-3 r) $

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