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Question
Find the LCM and GCD for the following and verify that f(x) × g(x) = LCM × GCD
21x2y, 35xy2
Solution
p(x) = 21x2y = 3 × 7 × x2 × y
g(x) = 35xy2 = 5 × 7 × x × y2
G.C.D = 7xy
L.C.M = 3 × 5 × 7x2 × y2
= 105x2y2
L.C.M × G.C.D = 105x2y2 × 7xy
= 735x3y3 ….(1)
p(x) × g(x) = 21x2y × 35xy2
= 735x3y3 ….(2)
From (1) and (2) we get
L.C.M × G.C.D. = p(x) × g(x)
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