Multiple choice

The LCM of (a3 + b3) and (a4 - b4) is

  1. (a3 + b3) (a + b) (a2 + b2)

  2. (a3 + b3) (a2 + b2) (a - b)

  3. (a + b) (a2 + ab + b2)

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

a3 + b3 = (a + b) (a2 - ab + b2) and a4 - b4 = (a - b) (a + b) (a2 + b2)

HCF = a + b Hence, LCM = (a3 + b3) (a - b) (a + b) (a2 + b2) / (a + b) = (a3 + b3) (a - b) (a2 + b2)

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