Question

factarise x^8 - a^16

Answer 1

x^8 - a^16
(x^4)^2 - (a^8)^2
(x^4 + a^8)(x^4 - a^8)
(x^4 + a^8){(x^2)^2 - (a^4)^2}
(x^4 + a^8)(x^2 + x^4)(x^2 - a^4)
(x^4 + a^8)(x^2 + x^4){(x)^2 - (a^2)^2}
(x^4 + a^8)(x^2 + x^4)(x + a^2)(x - a^2)

please mark brainy if helpful

Answer 2

Solution ●●●●
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$= {(x}^{4} ) {}^{2} - ( {a}^{8} ) {}^{2} \\ \\ = (x {}^{4} + a {}^{8} )(x {}^{4} - {a}^{8} )$
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I hope it will help you
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