FOIL Method

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Multiply and simplify (if possible) $(5x +y)(9x +5y)$

**Answer**

$\;\;\;(5x +y)(9x +5y)$

$=(5x)(9x) + (5x)(5y) + (y)(9x) + (y)(5y)$

$= 45x^{2} +25xy +9xy +5y^{2} $

$= 45x^{2} +34xy +5y^{2} $