hcf of the following expression: a^2-1,a^3-1,a^2+a-2
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Answer:
First,
a^2 - 1 = (a)^2 - (1)^2
= (a + 1) (a - 1)
Second,
a^3 - 1 = (a)^3 - (1)^3
= (a - 1) (a^2 + a + 1)
Third,
a^2 + a - 2 = a^2 + (2a - a) -2
= a^2 + 2a - a - 2
= a (a + 2) - 1 (a + 2)
= (a - 1) (a + 2)
Therefore, the required H.C.F is (a - 1)
Answer :- H.C.F = ( a - 1)
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