Special Products Rule 1

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Expand $(4p + q)^2$

**Answer**

$\;\;\;(4p + q)^2$

$=(A + B)^2 \text{, where } A = 4p \text{ and } B = q $

$=A^2 + 2AB + B^2$

$=(4p)^2 + 2(4p)(q) + (q)^2 $

$=16p^{2} + 8pq +q^{2} $