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

Otras preguntas

List three examples of a primary economic activity?
A soccer is having a car wash. The team spent $55 on supplies. They earned $275, including tips. The team profit is the amount the team made after paying for su
accurate estimation of 75-33
Explain the role of energy in changes of state.
What do all viruses need to reproduce?
What is SADD? How has the organization changed since its founding?
A lizard accelerates from 2 m/s to 10m/s in 4 seconds. What is the lizard’s acceleration?
What are the next three numbers in this pattern? 6,000 6,003 6,009 6,018 6,030 6,045 ... .. ...
Simplify the expression: In(e^5x).
Church of the Holy Sepulcher, Dome of the Rock, Western Wall Which city is home to these three monuments