Connect with a global community of knowledgeable individuals on IDNLearn.com. Find in-depth and trustworthy answers to all your questions from our experienced community members.

Is the HCF of a^3-8, a^4+16 and a^3+2a^2+4a just 1?
Please answer........


Sagot :

first we find the factors
a^3-8 is the differnce between 2 perfect cubes and is factored out to
(a-2)(a^2+2a+4)
the factors are (a-2) and (a^2+2a+4)

a^4+16
this is not factorable, unless you mistiped it and it was really a^4-16
the factor is 1


a^3+2a^2+4a
factor out the a
a(a^2+2a+4)
this is the most factored out form
the factors are (a) and (a^2+2a+4)


there are no common factors except 1 so 1 is the answer