How do you multiply (x^3+1)^2?

Jan 7, 2017

See full explanation below:

Explanation:

This expression can be rewritten as:

$\left(\textcolor{red}{{x}^{3} + 1}\right) \left(\textcolor{b l u e}{{x}^{3} + 1}\right)$

We can next cross multiply each term in the parenthesis on the left by each term in the parenthesis on the right:

$\left(\textcolor{red}{{x}^{3}} \times \textcolor{b l u e}{{x}^{3}}\right) + \left(\textcolor{red}{{x}^{3}} \times \textcolor{b l u e}{1}\right) + \left(\textcolor{red}{1} \times \textcolor{b l u e}{{x}^{3}}\right) + \left(\textcolor{red}{1} \times \textcolor{b l u e}{1}\right) \to$

${x}^{6} + {x}^{3} + {x}^{3} + 1$

Now we can combine like terms:

${x}^{6} + 2 {x}^{3} + 1$