Question

How would the expression x^3+64 be written using sum of cubes

Answer 1

Answer: (x+4)(x^2-4x+16)

Step-by-step explanation: APEX

Answer 2

$\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) \\\\ a^3-b^3 = (a-b)(a^2+ab+b^2)\\\\ -------------------------------\\\\ \boxed{64=4^3}\qquad \qquad x^3+64\implies x^3+4^3\implies (x+4)(x^2-4x+16)$