Factorise `x^(4) + x^(3) - x^(2) - x`.A. `(x^(2) + 1) (x -1) x`B. `x (x+1)^(2) (x - 1) `C. `(x^(2) +1) (x -1)^(2)`D. `x(x-1)^(2) (x + 1)`

Factorise `x^(4) + x^(3) - x^(2) - x`.A. `(x^(2) + 1) (x -1) x`B. `x (

1.	Factorise `x^(4) + x^(3) - x^(2) - x`.A. `(x^(2) + 1) (x -1) x`B. `x (x+1)^(2) (x - 1) `C. `(x^(2) +1) (x -1)^(2)`D. `x(x-1)^(2) (x + 1)`
Answer» Correct Answer - B `x^(4) + x^(3) - x^(2) - x` `= x^(3) (x +1) - x( x +1)` = `(x + 1) (x^(3) -x)` = `(x +1) (x) (x^(2) - 1)` `= x(x +1) (x +1) (x-1)` = `x (x-1) (x +1)^(2)` Hence , the correct option is (b) .

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