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Mathematics

x2 - 9x - 10 is equal to :

  1. (x - 10) (x + 1)

  2. (x - 10) (x - 1)

  3. (x + 10) (x - 1)

  4. (x + 10) (x + 1)

Factorisation

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Answer

x2 - 9x - 10

= x2 - (10 - 1)x - 10

= x2 - 10x + 1x - 10

= (x2 - 10x) + (1x - 10)

= x (x - 10) + 1(x - 10)

= (x - 10)(x + 1)

Hence, option 1 is the correct option.

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