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