The L.C.M. of 8b(a^2 - b^2), 6ab^3(a^3 - b^3) and 18a^2(a + b)^2 is

Correct Answer is : 72a2b3(a+b)2(a−b)(a2+ab+b2)

144a^2b^3(a + b)^2(a - b)(a^2 + ab + b^2)

72a^2b^3(a + b)^2(a + b)(a^2 + ab + b^2)

72a^2b^3(a + b)^2(a - b)(a^2 + ab + b^2)

144a^2b^3(a - b)^2(a + b)(a^2 + ab + b^2)

SSC CHSL Model Paper 14

Question : 53 of 100

Marks: +1, -0

The L.C.M. of

8b(a^2 - b^2), 6ab^3(a^3 - b^3)

and

18a^2(a + b)^2

Solution:

8b(a^2 - b^2) = 8b(a + b)(a - b),

6ab^3(a^3 - b^3) = 6ab^3(a - b)

(a^2 + ab + b^2),

18a^2 (a + b)^2

Hence, the overall LCM will be

7 2a^2b^3(a + b)^2(a - b) (a^2 + b^2 + ab)

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