Question

HCF a²-1,a³-1,a²+a-2 plz help me​

Answer 1

Answer:

(a-1)

Step-by-step explanation:

Q. a²-1,a³-1,a²+a-2

Solution:

•Factors of a²-1 = (a+1)(a-1)

•Factors of a³-1 = (a-1)(a²+a+1)

•Factors of a²+a-2 = (a+2)(a-1)

Now, we know that H.C.F stands for Highest Common Factor, thus here (a-1) is the highest common factor.

Therefore, the HCF of a²-1,a³-1,a²+a-2 is (a-1).

May it helps you, thank you!

Answer 2

Answer:

a-1

Step-by-step explanation:

a²-1=(a+1)(a-1)

a³-1=(a-1)(a²+a+1)

a²+a-2={(a)²+2*a*½+(½)²}-(½)²-2

=(a+½)²-¼-2

=(a+½)²-(1½)²

=(a+2)(a-1)

here is (a-1) is common in all. so it is the answer.