Factor. \[ b^{3}+216 \]

To factor \( b^3 + 216 \), we first recognize that \( 216 \) can be expressed as \( 6^3 \). Thus, we can rewrite the expression as \( b^3 + 6^3 \). This is a sum of cubes, which can be factored using the formula \( a^3 + b^3 = (a + b)(a^2 - ab + b^2) \). In this case, set \( a = b \) and \( b = 6 \). Therefore, we have: \[ b^3 + 6^3 = (b + 6)(b^2 - 6b + 36) \] So the factored form of \( b^3 + 216 \) is: \[ (b + 6)(b^2 - 6b + 36) \]