Q1 of 108 Page 46

Find the lowest common multiple of the following expressions:

(iii) 2x2 – 8 and x2 – 5x + 6


Let u(x) = 2x2 – 8

On factorizing the above equation,


u(x) = 2(x2 – 4)


Let v(x) = x2 – 5x + 6


On factorizing the above equation,


Sum = -5


Product = 6


Therefore the two numbers satisfying the above conditions are -2 and -3.


v(x) = x2 – 3x – 2x + 6


v(x) = x(x – 3) - 2(x – 3)


v(x) = (x – 2) (x – 3)


By comparing u(x) and v(x),


LCM = 2(x2 – 4) (x – 3)


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