Сократите дробь! Алгебра

Question

Сократите дробь! Алгебра

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Answer 1

(x^4-3x^2+1)=x^4+1-2x^2-x^2=(x^2-1)^2-x^2=(x^2-1-x)(x^2-1+x)
(x^4-3x^2+1)/(x^2-x-1)=(x^2-1-x)(x^2-1+x)/(x^2-x-1)=x^2+x-1