Quadratic Expansion − Box Method
(x − 2)(x − 3) can be multiplied out to a quadratic expansion using the box method
Box Method has already used in Long Multiplication − Box Method
Example 1. Expand (x − 2)(x − 3)
Example 2. Expand (2x − 2)(x − 3)
(x − 2)(x − 3)
Draw a table and put the first bracket (x − 2) into the first row and put the second bracket (x − 3) into the first column, then multiply
| multiply | x | −2 |
| x | x2 | − 2x |
| −3 | − 3x | +6 |
= x2 − 2x − 3x + 6
= x2 − 5x + 6
(2x − 2)(x − 3)
Draw a table and put the first bracket (2x − 2) into the first row and put the second bracket (x − 3) into the first column, then multiply
| multiply | 2x | −2 |
| x | 2x2 | − 2x |
| −3 | − 6x | +6 |
= 2x2 − 2x − 6x + 6
= 2x2 − 8x + 6
Note: 'Expand', 'Multiply out' and 'Remove the brackets' is the same thing
to: 
