Mathematics

x2 - (x - 4y)2 in the form of factors is :

  1. 8y(x - 2y)

  2. 8y(x + 2y)

  3. 4y(x + 2y)

  4. 4y(x - 2y)

Factorisation

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Answer

Given,

   x2 - (x - 4y)2

= [x + (x - 4y)][x - (x - 4y)]

= (2x - 4y)[x - x + 4y]

= 4y(2x - 4y)

= 8y(x - 2y).

Hence, Option 1 is the correct option.

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