2(i) x5x +6, x4x 12 whose GCD is x-2.44

1.	2(i) x5x +6, x4x 12 whose GCD is x-2.44
Answer» L.C.MxG.C.D = f (x)xg (x) f (x) = x² - 5 x + 6 g (x) = x² + 4 x - 12 G.C.D = (x - 2) L.C.M = [ f (x)xg (x) ]/G.C.D = [ (x² - 5 x + 6) (x² + 4 x - 12) ]/(x - 2) To simplify this we have to factorize these quadratic equations.So that we get = [ (x - 2) (x - 3) (x + 6) (x - 2) ]/(x - 2) = (x - 2) (x - 3) (x + 6)

Answer»

L.C.MxG.C.D = f (x)xg (x)

f (x) = x² - 5 x + 6

g (x) = x² + 4 x - 12

G.C.D = (x - 2)

L.C.M = [ f (x)xg (x) ]/G.C.D

= [ (x² - 5 x + 6) (x² + 4 x - 12) ]/(x - 2)

To simplify this we have to factorize these quadratic equations.So that we get

= [ (x - 2) (x - 3) (x + 6) (x - 2) ]/(x - 2)

= (x - 2) (x - 3) (x + 6)

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