When multiplying two binomials, we can use a distributive property called F.O.I.L.

The distributive property for binomials: (a+b)(c+d) = a(c+d) +b(c+d) = ac + ad + bc + bd

Instead of going through the distributive property individually, we can use the simplified way, the F.O.I.L method.

The acronym:

F – first term in each bracket – ac

O – outside terms – ad

I – inside terms – bc

L – last term in each bracket – bd

Example:

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A challenge with F.O.I.L is that it can become confusing if you forget what you have multiplied and what you haven’t. Writing down the arrows as you go can be very helpful and help you know where you are at and how much you have left.