Question

factorise
a∧4 - (1/a∧4)

Answer 1

Answer:

(a^2+1/a^2)(a+1/a)(a-1/a)

Step-by-step explanation:

a^4-(1/a^4)

=(a^2)^2-(1/a^2)^2

=(a^2+1/a^2)(a^2-1/a^2)

=(a^2+1/a^2)((a)^2-(1/a)^2)

=(a^2+1/a^2)(a+1/a)(a-1/a)

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