Concept explainers
To explain: The how to use FOIL method to find the product of two binomials.
Explanation of Solution
Given information:
The FOIL method is used to find the product of two binomials.
Formulaused:
FOIL stands for − First, Outer, Inner, Last that is used to find the product of two binomials.
Let we multiply two binomials
Then the steps of multiplications they are:
Step1:
Multiply First terms of both binomials that is
Step2:
Multiply First terms of first binomials with outer of second term binomial that is
Step3:
Multiply second terms of first binomials with first term of second binomial that is
Step4:
Multiply second terms of first binomials with last term of second binomial that is
(Note: Every term must be multiply carrying its sign)
Then finally add all products of four steps as,
Thus the product of binomials
The diagram of FOIL method is shown in Figure-1 here.
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