sameerlawlis2005 sameerlawlis2005
  • 14-08-2021
  • Mathematics
contestada

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

Respuesta :

grishrana6
grishrana6 grishrana6
  • 14-08-2021

Answer:

a^2-ab+b^2

Step-by-step explanation:

factorize both of them.

Answer Link
caylus
caylus caylus
  • 14-08-2021

Answer:

Step-by-step explanation:

Remember:

[tex]a^3+b^3=(a+b)(a^2-ab+b^2)\\[/tex]

[tex]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\\[/tex]

Answer Link

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