Question

x cube + x square minus 2

Answer 1

Answer :

Now,

x³ + x² - 2

= x³ + x² - 1 - 1

= x³ - 1 + x² - 1

= (x³ - 1) + (x² - 1)

= (x - 1)(x² + x + 1) + (x + 1)(x - 1)

= (x - 1)(x² + x + 1 + x + 1)

= (x - 1)(x² + 2x + 2),
which is the required factorization.

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