FOIL Method

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Multiply and simplify (if possible) $(4x +5y)(2x +9y)$

**Answer**

$\;\;\;(4x +5y)(2x +9y)$

$=(4x)(2x) + (4x)(9y) + (5y)(2x) + (5y)(9y)$

$= 8x^{2} +36xy +10xy +45y^{2} $

$= 8x^{2} +46xy +45y^{2} $