Visual Representation: The difference of Two Squares: a² – b² = (a+b) (a-b)
Автор: Champions Academy
Загружено: 2021-09-07
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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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