Q. 4 D4.4( 14 Votes )

# Let’s find the L.

factors of ab4-8ab

=ab(b3-8)

=ab(b-2)(b2 + 2b + 4)

Factors of a2b4 + 8a2b

=a2b(b3 + 8)

= a2b(b + 2)( b2-2b + 4)

Factors of ab4-4ab2

=ab2(b2-4)

= ab2(b + 2)(b-2)

LCM is the lowest common multiple, which is the product of all the common factors taken once and the remaining factors as it is.

the LCM of ab4-8ab, a2b4 + 8a2b, ab4-4ab2 is

a2b2(b + 2)(b-2)(b2-2b + 4)(b2 + 2b + 4)

= a2b2(b3 + 8) (b3-8)

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