Question

How to you factor 8x^3 + 27

Answer 1

\[8x ^{3}+27\]

Answer 2

\(\bf 8x^3 + 27\qquad notice
\begin{cases}
8\to 2\cdot 2\cdot 2\to {\color{brown}{ 2^3}}\\
\bf 27\to 3\to 3\to 3\to {\color{brown}{ 3^3}}
\end{cases}\qquad thus
\\ \quad \\
8x^3 + 27\implies 2^3x^3+3^3\implies (2x)^3+3^3
\\ \quad \\
recall\implies {\color{brown}{ a^3+b^3\implies (a+b)(a^2-ab+b^2)}}\)