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Which polynomial expression represents a sum of cubes? (6 – s)(s2 + 6s + 36) (6 + s)(s2 – 6s – 36) (6 + s)(s2 – 6s + 36) (6 + s)(s2 + 6s + 36)

Verified Answer :

Nowalrusespls
C(6+s) (s2-6s+36) 
For sum of cubes you add the first binomial and subtract then add in the following trinomial.
a3+b3=(a+b)(a2-ab+b2)

Answer:

Option 3 is correct that is \((6+s)(s^2-6s+36)\)

Step-by-step explanation:

 We have general formula for sum of cube which is

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

Here, we have a=s and b=6

on substituting the values in the formula we will get

\(6^3+s^3=(6+s)(s^2+6^2-6s)\)

After simplification we will get

\(6^3+s^3=(6+s)(s^2+36-6s)\)

After rearranging the terms we will get

\(6^3+s^3=(6+s)(s^2-6s+36)\) which exactly matches option 3 in the given options.

Therefore, option 3 is correct that is \((6+s)(s^2-6s+36)\)



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