Find the LCM of the given polynomial. x^{3}-x, x^{2}-x

Mary Reyes 2021-12-13 Answered
Find the LCM of the given polynomial.
x3x,x2x
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Expert Answer

veiga34
Answered 2021-12-14 Author has 32 answers
Step 1
To find the LCM of given polynomial: x3x,x2x.
Solution:
x3x=x(x21)
x3x=x(x+1)(x1) (using, (a2b2)=(a+b)(ab))
x3x=x(x+1)(x1)...(1)
And,
x2x=x(x1)...(2)
Using,(1) and (2) LCM of x3x,x2x is given by:
x(x+1)(x-1).
Step 2
Result:
LCM is: x(x+1)(x-1).
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