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ax\left(x^{2}+2ax+a^{2}\right)
Factor out ax.
\left(x+a\right)^{2}
Consider x^{2}+2ax+a^{2}. Use the perfect square formula, p^{2}+2pq+q^{2}=\left(p+q\right)^{2}, where p=x and q=a.
ax\left(x+a\right)^{2}
Rewrite the complete factored expression.