a² – b² is equal to *
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Answer:
(a+b)(a-b)
hope it helps you ☺️
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a² - b² = (a+b)(a-b)
Here a and b are the real numbers.
(a+b)(a-b)
=a(a-b)+b(a-b) [Addition Distributive Law]
=a²-ab+ba-b² [Addition Distributive Law]
=a²-ab+ab-b² [Multiplication Commutative Law]
=a²+0-b² [Addition Law of Identity]
=a²-b² [Addition Law of Identity]
so, a² - b² = (a+b)(a-b)
Addition Distributive Law: (A + B) X = (A X) + (B X)
Multiplication Commutative Law: XY=YX
Addition Law of Identity: A+(-A)=0 and A+0=A
Hope this helps!!
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