Question

Factorise : a⁴ -a -a² -1.

plzz fast and detailed.

Answer 1

${a}^{4} - a - {a}^{2} - 1 \\ = {a}^{2} ( {a}^{2} - 1) - (a + 1) \\ = {a}^{2} (a - 1)(a + 1) - (a + 1) \\ = (a + 1)( {a}^{3} - {a}^{2} - 1)$
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