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Factorize. a^4-a^2+2a-1​

1 Answer

1 vote

Answer:

(a²-a+1)(a²+a-1)

Explanation:


Formula\ to\ use:\\x^2-2xy+y^2=(x-y)^2\\\\x^2-y^2=(x-y)(x+y)\\\\a^4-a^2+2a-1\\\\=a^4-(a^2-2a+1)\\\\=a^4-(a-1)^2\\\\=(a^2-(a-1))(a^2+(a-1))\\\\\\=(a^2-a+1)(a^2+a-1)\\

User Szymon Lukaszczyk
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