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Troyanec [42]
2 years ago
14

Factorize itevaluate itfactorise itevaluatefactorize​

Mathematics
1 answer:
VARVARA [1.3K]2 years ago
3 0

Answer:

(x^2+y^2+xy)(x^2+y^2-xy)

Step-by-step explanation:

Rewrite the middle term.

x^4+2x^2y^2-x^2y^2+y^4

Rerrange terms.

x^4+2x^2y^2+y^4-x^2y^2

Factor first three terms by perfect square rule.

(x^2+y^2)^2-x^2y^2

Rewrite x^2y^2 as (xy)^2.

(x^2+y^2)^2-(xy)^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2-b^2=(a+b)(a-b) where a=x^2+y^2 and b=xy.

(x^2+y^2+xy)(x^2+y^2-(xy))

Remove parentheses.

(x^2+y^2+xy)(x^2+y^2-xy)

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