Question

factoroze (x+2)^2 - (x+4)^2​

Answer 1

Answer:

a²-b² = (a - b)(a + b)

your answer

(x + 2 -x - 4)(x + 2 + x + 4)

= (-2)(2x + 6)

= -4x - 12

Step-by-step explanation:

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Answer 2

$\bf{ {(x + 2)}^{2} - {(x - 4)}^{2} } \\ \\ \implies \sf{ ({x}^{2} + {2}^{2} + 2(x)(2) ) - ( {x}^{2} + {4}^{2} - 2(x)(4) } \\ \\ \implies \sf{( {x}^{2} + 4 + 4x) - ( {x}^{2} + 16 - 8x)} \\ \\ \implies \sf{ {x}^{2} + 4 - 4x - {x }^{2} - 16 + 8x} \\ \\ \implies \sf{ {x}^{2} - {x}^{2} + 4 - 16 + 8x - 4x} \\ \\ \implies \sf{4x - 12} \\ \\ = \boxed{ \sf{4(x -3 )}}$

Here, we have used the formulas

1. (a - b)² = a² + b² - 2ab
2. (a + b)² = a² + b² + 2ab