The Three Cases
Here are the three results we just got:
| (a+b)2 | = a2 + 2ab + b2 | } | the "perfect square trinomials" |
| (a−b)2 | = a2 − 2ab + b2 | ||
| a2 − b2 | = (a+b)(a−b) | the "difference of squares" |
Remember those patterns, they will save you time and help you solve many algebra puzzles.
(a+b)² = a²+2ab+b² - But Why? https://www.youtube.com/watch?v=49_TJymgXgM
(a−b)2 https://www.youtube.com/watch?v=TsaH0GR15V4
a2 − b2 https://www.youtube.com/watch?v=24gWbMSEVVw
a^2 - b^2 = (a+b)* (a-b) https://www.quora.com/What-is-the-formula-of-a-2-b-2 https://www.youtube.com/watch?v=24gWbMSEVVw
Recognizing Patterns https://www.mathsisfun.com/algebra/special-binomial-products.html (a+b)2
https://www.mathsisfun.com/algebra/special-binomial-products.html