FOIL Method

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Multiply and simplify (if possible) $(7p +5q)(7p +12q)$

**Answer**

$\;\;\;(7p +5q)(7p +12q)$

$=(7p)(7p) + (7p)(12q) + (5q)(7p) + (5q)(12q)$

$= 49p^{2} +84pq +35pq +60q^{2} $

$= 49p^{2} +119pq +60q^{2} $