Question

is divided by
7. Find the H.CF of (a2-a) (a + 1).​

Answer 1

Answer:

We know that HCF is the highest common factor.

Factorise a  

2

−1 as follows:

a  

2

−1=(a−1)(a+1)       (using identity a  

2

−b  

2

=(a+b)(a−b))

Now, factorise 3a−3 as follows:

3a−3=3(a−1)

Since the common factor between the polynomials a  

2

−1 and 3a−3 is (a−1).

Hence, the HCF is (a−1).

Step-by-step explanation: