Question

One of the factors of (x-1) - (x^2-1) is

Answer 1

${Hello...!!!}$

▶️ Plz REFER to the ATTACHMENT ABOVE...

Answer 2

Question:

One of the factors of (x-1) - (x²-1) is ?

Answer:

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

Step-by-step explanation:

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

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

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

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

Formula used:

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

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

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

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