1.

Factorise. (x + 2)² – (x + 4)²​

Answer» ONG>ANSWER:

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(x +  {2})^{2} - (x +  {4})^{2}   \\  \\ ⇒ {x}^{2}  + 2x + 4 -  {x }^{2}   - 4x - 16 \\  \\⇒ \: 2 {x}^{2}  - 2x - 12 \\  \\ ⇒ \: 2( {x}^{2}  - x - 6) \\  \\ ⇒ \: 2( {x}^{2}  - 3x + 2x - 6) \\  \\ ⇒ \: 2(x(x - 3) + 2(x - 3)) \\  \\ ⇒ \: 2(x - 3)(x + 2)



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