Q5 of 53 Page 166

Factorise the following:

x + x2 + 1

⇒ x2 + x4 + 1


⇒ x4 + 2x2 + 1 – x2


⇒ x4 + 2 × x2 × 1 + 12 – x2


⇒ (x2 + 1)2 – x2


⇒ (x2 + 1 + x)(x2 + 1 – x)


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