Question

Find the LCM of each pair of polynomials:
x^2-1 and x^2+2x+1

Answer 1

Answer :

1st term
= x² - 1
= (x - 1)(x + 1)

2nd term
= x² + 2x + 1
= (x + 1)²
= (x + 1)(x + 1)

∴ the required LCM
= (x + 1)(x + 1)(x - 1)
= (x + 1)(x² - 1)

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