Question

Desenvolva o produto notável abaixo e escolha a alternativa correta

( ײ - 1 ) - ( × + 1 )²
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× + 1

Answer 1

$\LARGE\tt{} \dfrac{( {x}^{2} - 1) - (x + 1) ^{2} }{x + 1} \\ \\ \LARGE\tt{} \dfrac{ {x}^{2} - 1 - (x + 1) ^{2} }{x + 1} \\ \\ \LARGE\tt{} \frac{(x - 1) \times (x + 1) - (x + 1)^{2} }{x + 1} \\ \\ \LARGE\tt{} \dfrac{(x + 1) \times \{x - 1 - (x + 1) \}}{x + 1} \\ \\ \LARGE\tt{} \dfrac{(x + 1) \times (x - 1 - x -1 )}{x + 1} \\ \\ \LARGE\tt{} \dfrac{\cancel{( x+ 1)} \times (x -1 - x - 1) }{\cancel{x + 1}} \\ \\ \LARGE\tt{}x - 1 - x - 1 \\ \\\LARGE\tt{}\cancel{x} - 1 \: \cancel{ - x} - 1 \\ \\ \LARGE\tt{} - 1 - 1 \\ {\large\boxed{\boxed{  { \LARGE \tt - 2 }}}}$

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