طريقة ضرب متعددات الحدود لحل المسائل الرياضية باستخدام أحرف فويل
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FOIL stands for:

FOIL: 'First, Inner, Outer, Last'
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https://ar.khanacademy.org/video?format=lite&lang=ar&v=pv5iG...
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There is also a special method, useful ONLY for a two-term polynomial times another two-term polynomial. The method is called "FOIL". The letters F-O-I-L come from the words "first", "outer", "inner", "last", and are a memory device for helping you remember how to multiply horizontally, without having to write out the distribution like I did, and without dropping any terms. Here is what FOIL stands for:

FOIL: 'First, Inner, Outer, Last'

http://www.purplemath.com/modules/polys/mult01.gif
http://www.purplemath.com/modules/polymult2.htm
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You already know how to simplify an expression like 7(4x+3), right? Just use the distributive property to multiply 7 times 4x and then 7 times 3. This gives you an answer of 28x+21. Pretty simple. But - What if you have something like this: (4x+6)(x+2)? That's where we use the FOIL method. FOIL means First, Outside, Inside, Last. That's not too hard to remember if you say it in your head a few times.

http://www.freemathhelp.com/using-foil.html
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https://www.youtube.com/watch?v=pv5iGYxP98M
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والله أعلم