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Expand: (p + q + 3)2 -

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Question

Expand: (p + q + 3)2

Sum

Solution

(p + q + 3)

= p2 + q2 + (3)2 + 2 × p × q + 2 × q × 3 + 2 × p × 3

= p2 + q2 + 9 + 2pq + 6q + 6p

= p2 + q2 + 2pq + 6q + 6p + 9.

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