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Method and examples
FOIL Method
 
Method

1. FOIL calculator : (2x-1)(4x+5)
 
Polynomial expression
 

2. Expand numeric expressions
 
Numeric expression
 

Factoring Polynomials calculator
SolutionHelpFormulas
FOIL Method calculator
Here x2 = x^2 = x2 and 2x = 2*x

1. Expression
1. (x+2)(x+3)
2. (x+y)(x2-xy+y2)
3. (2x+3y+4z)2
4. (3y-2x)3
5. (2x+3y)2
6. (x+y)2-(x-y)2
7. (x+y+z)2+(x+y-z)2
8. (3x-5y)3+(5y-9z)3+(9z-3x)3

2. Numeric Expression
1. 1022
2. 123
3. 923
4. 102106
5. 342-322
6. 103-73-33
7. 43+33


Example
1. Expand (2x-1)(4x+5)

Solution:
(2x-1)(4x+5)

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

=(2x+(-1))(4x+5)

=2x(4x+5)+(-1)(4x+5)

=2x4x+2x5+(-1)4x+(-1)5

=8x2+10x+(-4x)+(-5)

=8x2+6x-5




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