Question

Find the COM and GCD for 40a b , 25a b and verify that f(x) × g(x) = LCM × GCD.​

Answer 1

Answer:

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Answer 2

Answer:

Hope this helps you

Explanation:

Let f(x) = 21x2y and g(x) = 35xy2

f(x) = 21x2y = 3 ⋅ 7 ⋅ x2 y

g(x) = 35xy2 = 5 ⋅ 7 ⋅ x y2

L.C.M = 7 ⋅ 3 ⋅ 5 ⋅ x2 ⋅ y2

= 105 x2 y2

GCD = 7 ⋅ x ⋅ y

= 7xy

f(x) × g(x) = LCM × GCD

21x2y (35xy2) = (105 x2 y2)(7xy)

735x3y3 = 735x3y3

So, the relationship verified.