which polynomial expression represents a sum of cubes?\n(6 - s)(s² + 6s + 36)\n(6 + s)(s² - 6s - 36)\n(6 +…
which polynomial expression represents a sum of cubes?\n(6 - s)(s² + 6s + 36)\n(6 + s)(s² - 6s - 36)\n(6 + s)(s² - 6s + 36)\n(6 + s)(s² + 6s + 36)
Answer
Explanation:
Step1: Recall sum - of - cubes formula
The sum - of - cubes formula is $a^{3}+b^{3}=(a + b)(a^{2}-ab + b^{2})$.
Step2: Analyze each option
For the formula $(a + b)(a^{2}-ab + b^{2})$, if $a = 6$ and $b=s$, then $(6 + s)(6^{2}-6s + s^{2})=(6 + s)(s^{2}-6s + 36)$.
Answer:
C. $(6 + s)(s^{2}-6s + 36)$