Question

${x}^{3} + y - xy - x$

Answer 1

Answer :

Now, x³ + y - xy - x

= (x³ - x) - (xy - y)

= x (x² - 1) - y (x - 1)

= x (x - 1) (x + 1) - y (x - 1)

= (x - 1) (x² + x - y),

which is the required factorization.

#MarkAsBrainliest

Answer 2

x³ + y - xy - x

x³ - x - xy + y

x(x² - 1²) - y(x - 1)

x(x - 1)(x + 1) - y(x - 1)

(x - 1)[ x(x + 1) - y]

(x - 1)(x² + x - y)


I hope this will help you


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