Answer :

Factors of p2 + 2p


=p(p + 2)


Factors of 2p4 + 3p3-2p2


=p2(2p2 + 3p-2)


= p2(2p2 + 4p-p-2)


=p2{2p(p + 2)-1(p + 2)}


=p2{(2p-1)(p + 2)}


Factors of 2p3-3p2-14p


=p(2p2-3p-14)


=p(2p2-7p + 4p-14)


=p{p(2p-7) + 2(2p-7)}


=p(p + 2)(2p-7)


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 p2 + 2p, 2p4 + 3p3-2p2, 2p3-3p2-14p is


p2(2p-1)(p + 2) (2p-7)


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