FOIL Method Definition

It is a particular method that is used to simplify the multiplication of two terms in Algebra. Through the FOIL method, we can easily multiply two Algebraic terms without making mistakes.


Read about Variables here.

What does FOIL stand for?

In the FOIL method, all four characters stand for four different terms. Here is the complete form of this abbreviation:

  • “F” stands for First.
  • “O” stands for Outer.
  • “I” stands for Inner.
  • “L” stands for Last.

It shows the complete sequence by following which we can multiply two Algebraic terms quickly. This is how you can show the multiplication through the FOIL method in Algebra.

(a + b)(c + d) = ac + ad + bc + bd

How FOIL method is helpful in Algebra?

As mentioned above, the FOIL method has made the multiplication of two Algebraic terms easier. By following this rule, you can easily understand which terms you have to pick for multiplying with the specific term of the other terms

Example 1:

Find multiplication of (3x + y) (2x + 6y).


As mentioned above, we have to multiply the terms in the sequence as per the abbreviation of the FOIL method.

= 6x2 + 18xy + 2xy + 12y2


Can we multiply two terms without following the FOIL method?

Yes, we can multiply two terms without following this method. It can only make multiplication easy for learners.

What does FOIL stand for in Algebra?

In Algebra, FOIL stands for four words, First, Outer, Inner, and Last. It indicates the sequence by following which we can multiply two Algebraic terms.

Is it compulsory to follow the FOIL method in Algebra?

No, it is not compulsory to follow this rule. We can multiply terms in our specific sequence but the FOIL method can make the multiplication easier.