Question

Factor:1080s^3+5

Answer 1

5(6s+1)(36s^2-6s+1)

Answer 2

We have
\[1080s^3+5\]
take 5 common
\[5( 216 s^3+1)\]
we know
\[216=6^3\]
so
\[5 (6^3s^3+1)\]
or
\[5(6^3s^3+1^3)\]
we know
\[a^3+b^3=(a+b)(a^2-ab+b^2)\]
so
\[5(6^3s^3+1)=5(6s+1)(6^2s^2-6s \times 1 +1^2)\]
we get
finally
\[5(6s+1)(6^2s^2-6s+1)\]