Question

one of the factor (x-1) -(x²-1) is​

Answer 1

$\huge{\tt{ANSWER:-}}$

$(x - 1) - ( {x}^{2} - 1)$

$= (x - 1) - (x + 1)(x - 1)$

$= (x - 1)(1 - x - 1)$

$= - x(x - 1)$

$\bold\green{Answer: -x (x-1) }$

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♥$\pink {\mathfrak{Hope\:It\:Helps\:Uh\:!!!}}$

Answer 2

Answer:

$\boxed{ (x-1)(-x)} \: is \: the \: factor$

Step-by-step explanation:

$(x - 1) - ( {x}^{2} - 1)$

$\Longrightarrow (x - 1) - (x + 1)(x - 1)$

$\Longrightarrow (x - 1)[1 - (x + 1)]$

$\Longrightarrow \boxed{ (x-1)(-x)}$

Formula used:

$( {a}^{2} - {b}^{2} ) = (a + b)(a - b)$

$( {x}^{2} - 1) = ( {x}^{2} - {1}^{2} )$

$= \boxed{(x + 1)(x - 1)}$