Special Products Rule 1

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Expand $(10p + q)^2$

**Answer**

$\;\;\;(10p + q)^2$

$=(A + B)^2 \text{, where } A = 10p \text{ and } B = q $

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

$=(10p)^2 + 2(10p)(q) + (q)^2 $

$=100p^{2} + 20pq +q^{2} $