5] Expand .
(p+q +3) Square of 2
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Given:
(p + q + 3)²
For expand it we use the formula of (a + b + c)²
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac
here we get
(p + q + 3)² = p² + q² +3² + 2(p × q) + 2(q × 3) +2(p × 3)
(p + q + 3)² = p² + q² + 9 + 2pq + 6q + 6p
so we can write it as
(p + q + 3)² = p² + q² +2pq +6p + 6q + 9
Hence the answer is p² + q² +2pq +6p + 6q + 9
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