Factorize. a^4-a^2+2a-1

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05-08-2021
Mathematics

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Factorize. a^4-a^2+2a-1

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caylus caylus · Answer 1 · 2021-08-05T11:00:49-04:00

caylus caylus

05-08-2021

Answer:

(a²-a+1)(a²+a-1)

Step-by-step explanation:

[tex]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)\\[/tex]

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Factorize. a^4-a^2+2a-1​

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Factorize. a^4-a^2+2a-1