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Question
Find the L.C.M. of the given expressions
p2 – 3p + 2, p2 – 4
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Solution
P2 – 3p + 2 = p2 – 2p – p + 2
= p(p – 2) – 1 (p – 2)
= (p – 2) (p – 1)
p2 – 4 = p2 – 22 ...(using a2 – b2 = (a + b) (a – b)]
= (p + 2) (p – 2)
L.C.M. = (p – 2) (p + 2) (p – 1)
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