Factorise $x^{2} + 6x + 9 - y^{2}$.

Factorise $x^{2} + 6x + 9 - y^{2}$.
  1. $(x + 3 - y)(x + 3 + y)$
  2. $(x - 3 - y)(x - 3 + y)$
  3. $(x + 3 + y)^{2}$
  4. $x^{2} + 6x + 9 + y^{2}$

Solution

$(x+3)^{2} - y^{2} = (x+3-y)(x+3+y)$.

Asked in: MH-SSC-9

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