Factorize each of the following algebraic expression:

Question:

Factorize each of the following algebraic expression:
p2q2 − 6pqr + 9r2

Solution:

$p^{2} q^{2}-6 p q r+9 r^{2}$

$=(p q)^{2}-2 \times p q \times 3 r+(3 r)^{2}$

$=(p q-3 r)^{2}$

$=(p q-3 r)(p q-3 r)$

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