Answer: First option is correct.
Step-by-step explanation:
Since we have given that
\(6x^3+6\)
Now, by factorising , we get
\(6x^3+6\\=6(x^3+1)\)
Now, we use the formula i.e.
\(a^3+b^3=(a+b)(a^2-ab+b^2)\)
By using this, we get ,
\(6(x^3+1)\\=6(x+1)(x^2-x+1)\)
So,
\((x+1) \text{ is the factor of }6x^3+6.\)
