# Week 9- Recognizing Polynomial Patterns

This week in math 10 we learned how to recognize patters within polynomial expressions and evaluate them. These patterns can be remembered and then applied to skip over distributive property steps and evaluate the expressions quicker.

The patterns:

(a+b) (a-b)

= $a^2$ + ab – ba – $b^2$

= $a^2$$b^2$

$(a+b)^2$ = (a+b) (a+b)

= $a^2$ + ab + ba + $b^2$

= $a^2$ + 2ab + $b^2$

$(a-b)^2$ = (a-b) (a-b)

= $a^2$ -ab -ba + $b^2$

= $a^2$ -2ab + $b^2$