Question

factorise a cube minus a square plus a minus one (a^3-a^2+a-1)

Answer 1

Answer:

$( {a}^{2} + 1)(a - 1)$

Step-by-step explanation:

${a}^{3 } - {a }^{2} + a - 1$

${a}^{2} (a - 1) + 1(a - 1)$

$( {a}^{2} + 1)(a - 1)$

hence these are required factors.

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