20. Which of the following is the factorization of x3 – x?
(i) x(x – x2)
(ii) x[(1+ x) (1 – x)]
(iii) x(x2 – x)
(iv) x[(x + 1) (x – 1)]
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20. Which of the following is the factorization of x3 – x?
(i) x(x – x2)
(ii) x[(1+ x) (1 – x)]
(iii) x(x2 – x)
(iv) x[(x + 1) (x – 1)]
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Answer:
(iv)
Step-by-step explanation:
(iv)
Answer:
x(x−1)(x+1)
Step-by-step explanation:
Given : x^3 - xx
3
−x
To Find : Factorize
Solution :
x^3 - xx
3
−x
Take x as common
x(x^2 - 1)x(x
2
−1)
Property : x^2-a^2=(x-a)(x+a)x
2
−a
2
=(x−a)(x+a)
Applying the property
x(x-1)(x+1)x(x−1)(x+1)
So, Factorization of x^3 - xx
3
−x is x(x-1)(x+1)x(x−1)(x+1)