This is a draft cheat sheet. It is a work in progress and is not finished yet.
Example of Perfect Squares
(x + 1)2 |
(2x - 5)2 |
(x + 2√3)2 |
x2 + 2x + 1 |
4x2 - 20x + 52 |
x2 + 4√6x + 2√32 |
|
4x2 - 20x + 25 |
x2 + 4√6x + 12 |
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Difference of Two Squares
Examples of Difference of Two Squares
Examples of Difference of Two Squares
(x - 1) (x + 1) |
(2m + 5) (2m - 5) |
x2 + x - x - 1 |
4m2 - 10m + 10m - 25 |
x2 - 1 |
4m2 - 25 |
|
3x2 - √15 + √15 |
(√3x + √5) (√3x + √5) |
3x2 - 5 |
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Examples of Difference of Two Squares
(x - 1) (x + 1) |
(2m + 5) (2m - 5) |
x2 + x - x - 1 |
4m2 - 10m + 10m - 25 |
x2 - 1 |
4m2 - 25 |
|
(√3x + √5) (√3x + √5) |
= 3x2 - √15 + √15 |
3x2 - 5 |
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