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Question

How do you factor completely a4−b4?


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Solution

Factoring the given expression:

First, use the formula of a2-b2=(a+b)(a-b):

a4-b4=a22-b22=a22-b22=a2+b2a2-b2

Again, use the formula of a2-b2:

a4-b4=a2+b2a+ba-b

Hence, the factors of a4-b4 is a2+b2a+ba-b.


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