Скачать или смотреть Visual Representation: The difference of Two Squares: a² – b² = (a+b) (a-b)

The difference of Two Squares:
a² – b² = (a+b) (a-b)

This is a method for factoring a polynomial. Recall that we can also factor a number
down to its prime factors using Prime Factorization and divisibility rules.
We can demostrate this relationship with a variety of materials:
Students should attempt as many of these methods as possible to verify that the relationship:

a² - b² = (a+b)(a-b)

a²-b² , where a and b are the real numbers

= a²+0-b² [Addition Law of Identity]

= a²-ab+ab-b² [Addition Law of Identity]

= a²-ab+ba-b² [Multiplication Commutative Law]

= a(a-b)+b(a-b) [Addition Distributive Law]

= (a-b)(a+b) [Addition Distributive Law]

Thus , a² - b² = (a+b)(a-b)

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