FOIL Method

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Multiply and simplify (if possible) $(4a +5b)(6a +7b)$

**Answer**

$\;\;\;(4a +5b)(6a +7b)$

$=(4a)(6a) + (4a)(7b) + (5b)(6a) + (5b)(7b)$

$= 24a^{2} +28ab +30ab +35b^{2} $

$= 24a^{2} +58ab +35b^{2} $