4. Find the H.C.F and L.C.M of:
i) a^2 - ax, x^2 – 2ax + a² and x^2 - a^2
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Answer:
a^2-ax = a.(a-x) = -a.(x-a)
x^2-2ax+a^2 = (x-a)^2
x^2-a^2 = (x+a).(x-a)
LCM= -a.(x-a).(x-a).(x+a)
HCF = Highest common factor = (x-a)
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