Answer: this is our required factor i.e.
[tex]8z^3+27=(2z+3)(4z^2-6z+9)[/tex]
Explanation:
Since we have given that
[tex]8z^3+27[/tex]
As we know the identity , which says that
[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
So, we can use this here ,
[tex]8z^3+27=(2z)^3+3^3\\\\=(2z+3)((2z)^2-2z\times 3+3^2)\\\\=(2z+3)(4z^2-6z+9)[/tex]
Hence this is our required factor i.e.
[tex]8z^3+27=(2z+3)(4z^2-6z+9)[/tex]
