Question

Please help to solve this question
Find H.C.F
i) x^3-y^3, x^6-y^6, x^4+ x^2y^2+y^4​

Answer 1

No Like terms

Explanation:

x^3-y^3= No like terms (its simplified)

x^6-y^6= No like terms (its simplified)

x^4+ x^2y^2+y^4​ = No like terms (its simplified)

Hope this helps! Have a nice day :)

Answer 2

x^2+xy+y^2

Explanation:

• x^3-y^3= (x-y)((x^2+xy+y^2)
• x^6-y^6=(x^3+y^3)(x^3-y^3)= (x^3+y^3)(x-y)(x^2+xy+y^2)
• x^4+ x^2y^2+y^4​= x^4+2x^2y^2+y^4 - x^2y^2= (x^2+y^2)^2 -x^2y^2=(x^2+xy+y^2)(x^2-xy+y^2)

HCF is x^2+xy+y^2 as it is the factor of all three polynomials