Q. 5 C5.0( 3 Votes )

# Factorise the following:

x + x^{2} + 1

Answer :

⇒ x^{2} + x^{4} + 1

⇒ x^{4} + 2x^{2} + 1 – x^{2}

⇒ x^{4} + 2 × x^{2} × 1 + 1^{2} – x^{2}

⇒ (x^{2} + 1)^{2} – x^{2}

⇒ (x^{2} + 1 + x)(x^{2} + 1 – x)

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