Question

HCF of (a^3+b^3 ) & (a^4+a^2b^2+b^4)?

Answer 1

Explanation:

Remember:

`a^3+b^3=(a+b)(a^2-ab+b^2)\\`

`a^3+b^3=(a+b)(a^2-ab+b^2)\\\\\\a^4+a^2b^2+b^4=a^4+2a^2b^2+b^4-a^2b^2\\\\=(a^2+b^2)^2-a^2b^2\\\\=(a^2+b^2-ab)(a^2+b^2+ab)\\\\HCF=a^2+b^2-ab\\`

Answer 2

a^2-ab+b^2

Explanation:

factorize both of them.