Resolved: "Factorise x 8 − y 8"

Aiyana Jenkins

Answered question

2023-02-04

Factorise

x^{8} - y^{8}

Hayden Dudley

Beginner2023-02-05Added 6 answers

(x^{4})^{2} - (y^{4})^{2} = (x^{4} - y^{4}) (x^{4} + y^{4}) [Using identity a^{2} - b^{2} = (a - b) (a + b)] = {(x^{2})^{2} - (y^{2})^{2}} (x^{4} + y^{4}) = {(x^{2} - y^{2}) (x^{2} + y^{2})} (x^{4} + y^{4}) = (x - y) (x + y) (x^{2} + y^{2}) (x 4 + y 4)

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