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Mathematics

x2 - 23x + 42 is equal to :

  1. (x - 21) (x + 2)

  2. (x - 21) (x - 2)

  3. (x + 21) (x + 2)

  4. (x + 21) (x - 2)

Factorisation

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Answer

x2 - 23x + 42

= x2 - (21 + 2)x + 42

= x2 - 21x - 2x + 42

= (x2 - 21x) - 2(2x - 42)

= x (x - 21) - 2(x - 21)

= (x - 21)(x - 2)

Hence, option 2 is the correct option.

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