Question

factorise. (x + 2)² – (x + 4)²​

Answer 1

Answer:

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

Answer 2

$( {x + 2)}^{2} - ( {x + 4)}^{2}$

$( {x}^{2} + 4 + 4x) - ( {x}^{2} + 16 + 8x)$

${x}^{2} + 4 + 4x - {x}^{2} - 16 - 18x$

$- 14x - 12$

$- 2(7x + 6)$