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Mathematics

1 - 2x - 2x2 + 4x3 is equal to:

  1. (1 + 2x) (1 - 2x2)

  2. (1 + 2x) (1 + 2x2)

  3. (1 - 2x) (1 - 2x2)

  4. (1 - 2x) (1 + 2x2)

Factorisation

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Answer

1 - 2x - 2x2 + 4x3

= 1 ×\times(1 - 2x) - (2x2 - 2 ×\times 2 x2 ×\times x)

= 1 ×\times(1 - 2x) - 2x2(1 - 2x)

= (1 - 2x)(1 - 2x2)

Hence, option 3 is the correct option.

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