Answer:
[tex]x^{3} +2^{3}=(x+2)(x^{2} -2x+2^{2} )[/tex]
Step-by-step explanation:
The general expansion of a polynomial of type [tex]a^{3} +b^{3}[/tex] is given as follows:
[tex]a^{3} +b^{3} =(a+b)(a^{2} -ab+b^{2} )[/tex]
Given polynomial is [tex]x^{3} +8[/tex]
This can be written as [tex]x^{3} +2^{3}[/tex], which is of the form [tex]a^{3} +b^{3}[/tex].
So we can use the general form to expand this polynomial where;
a→x
b→2
[tex]x^{3} +2^{3}=(x+2)(x^{2} -x\times2+2^{2} )[/tex]
[tex]x^{3} +2^{3}=(x+2)(x^{2} -2x+2^{2} )[/tex]
