Find the product : ( x + 1 ) ( x - 1) ( x^2 +1)

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Solution

( x + 1 ) ( x - 1) ( x² +1)

Using the formula (a+b) (a-b) = a² -b²

⇒ [ (x)² - (1)²] ( x² + 1 )

⇒ ( x² - 1 ) ( x² + 1 )

Again using above formula

⇒ (x²)² - (1)²

⇒ x⁴- 1 Ans.

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