Factor g^(3)+27 completely. Answer:

Recognize Sum of Cubes: Step Title: Recognize the Sum of Cubes Concise Step Description: Identify that the expression is a sum of cubes, which can be factored using the sum of cubes formula: a^3 + b^3 = (a + b)(a^2 - ab + b^2). Step Calculation: In this case, g^3 is a^3 and 27 is b^3, where a = g and b = 3.Apply Formula: Step Title: Apply the Sum of Cubes Formula Concise Step Description: Apply the sum of cubes formula to factor the expression completely. Step Calculation: Using the formula, we get (g + 3)(g^2 - 3g + 9).

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Factor $g^{3}+27$ completely. $\newline$ Answer:

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Q. Factor

g^{3}+27

completely.

\newline

Answer:

Recognize Sum of Cubes: Step Title: Recognize the Sum of Cubes $\newline$ Concise Step Description: Identify that the expression is a sum of cubes, which can be factored using the sum of cubes formula: $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$ . $\newline$ Step Calculation: In this case, $g^3$ is $a^3$ and $27$ is $b^3$ , where $a = g$ and $b = 3$ .
Apply Formula: Step Title: Apply the Sum of Cubes Formula $\newline$ Concise Step Description: Apply the sum of cubes formula to factor the expression completely. $\newline$ Step Calculation: Using the formula, we get $(g + 3)(g^2 - 3g + 9)$ .