Question

identifying a sum of cubes

which polynomial expression represents a sum of cubes?

\\((6 - s)(s^2 + 6s + 36)\\)
\\((6 + s)(s^2 - 6s - 36)\\)
\\((6 + s)(s^2 - 6s + 36)\\)
\\((6 + s)(s^2 + 6s + 36)\\)

Explanation:

Identify the sum of cubes formula

$$ a^3 + b^3 = (a + b)(a^2 - ab + b^2) $$

Match the given options to the formula

$$
LATEXBLOCK0
$$

Select the matching option

$$ (6 + s)(s^2 - 6s + 36) $$

Answer:

• (A) \((6-s)(s^2 + 6s + 36)\)
• (B) \((6+s)(s^2 - 6s - 36)\)
• (C) \((6+s)(s^2 - 6s + 36)\) (Correct answer)
• (D) \((6+s)(s^2 + 6s + 36)\)