Question

Find hcf of X³-y³ and x²+xy+y²

Answer 1

Answer:

x-y

Step-by-step explanation:

${x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} )$

So, the HCF is x-y.

Thank you

Answer 2

Answer:

x²+xy+y²

Step-by-step explanation:

Need to find HCF of x³-y³ and x²+xy+y²

The first one= x³-y³= (x-y)*(x²+xy+y²) and has 2 factors

The second one is equal to one of the factors of the first one.

So, the 2 above have common factor of x²+xy+y² which is the HCF