Question

Factorise x³ – 3x² – 9x –5

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Answer 1

Given :-

x³ - 3x² - 9x - 5

To Do :-

Factorise

Solution :-

⤳  x³ - 3x² - 9x - 5

⤳  ( x - 5 )( x² + 2x + 1 )

~As we know that,

Identity : ( a + b )² = a² + b² + 2ab

• By applying this identity in opposite direction.

x² + 2x + 1 = ( x + 1 )

⤳  ( x - 5 )( x + 1 )²

⤳  ( x - 5 )( x + 1 )( x + 1 )

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━

• Henceforth, the factorized form is ( x - 5 )( x + 1 )( x + 1 )

Know more :-

Factorising an algebraic expression means writing the expression as a product of factors.

a² - b² = (a - b)(a + b)

( a + b )² = a² + 2ab + b²

a² + b² = ( a + b )² - 2ab

( a - b )² = a² - 2ab + b²

Answer 2

Answer:

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