Question

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Answer 1

★ Corrected question:

• Factorise x³ + 2x² - x + 2

Here we are given with an algebraic expression x³ + 2x² - x + 2 which needs to be factorised. We need to use an identity to factorise the above algebraic expression,

• a²- b² = (a + b) (a - b)

Factorisation :

As we already know that, factorisation is the reverse process of multiplication,

Splitting the middle term method,

$\implies \tt \: {x}^{2} (x - 2) - 1(x - 2) \\ \implies \tt \: (x -2) ({x}^{2} - 1) \\ \implies \bf \: (x - 2)(x + 1)(x - 1)$

Hence, factorised!