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Question
Factorize each of the following algebraic expression:
p2q2 − 6pqr + 9r2
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Solution
\[p^2 q^2 - 6pqr + 9 r^2 \]
\[ = (pq )^2 - 2 \times pq \times 3r + (3r )^2 \]
\[ = (pq - 3r )^2 \]
\[ = (pq - 3r)(pq - 3r)\]
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