Question

How do you expand `(10y^3+1)^2`?

Answer 1

`(10y^3+1)^2=100y^6+20y^3+1`

Explanation:

`(10y^3+1)^2=(10y^3+1)(10y^3+1)^2`

`=100y^6+10y^3+10y^3+1`

`=100y^6+20y^3+1`

This follows the old routine of `(a+b)^2=a^2+b^2+2ab`.

Here `a=10y^3, b=1`.