# How do you identify special products when factoring?

Jul 21, 2018

You identify special products by their values if its a perfect square or cubes..

#### Explanation:

For examples;

Difference of two squares is: ${x}^{2} - {y}^{2} = \left(x + y\right) \left(x - y\right)$

${\left(x + y\right)}^{2} = {x}^{2} + {y}^{2} + 2 a b$

${\left(x - y\right)}^{2} = {x}^{2} + {y}^{2} - 2 a b$

Note: ${\left(x - y\right)}^{2} \ne {x}^{2} - {y}^{2}$

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