Mathematics

7(x + 3y)2 - 2x - 6y in the form of factors is :

  1. (9x2 + 21xy)(x + 6y)

  2. 9(x + 3y)(x + 3y - 1)

  3. (x + 3y)(7x + 21y - 2)

  4. 7(x + 3y)(x + 3y - 3)

Factorisation

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Answer

   7(x + 3y)2 - 2x - 6y

= 7(x + 3y)2 - 2(x + 3y)

= (x + 3y)[7(x + 3y) - 2]

= (x + 3y)(7x + 21y - 2)

Hence, Option 3 is the correct option.

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