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3\left(y^{6}+10y^{5}+25y^{4}\right)
Factor out 3.
y^{4}\left(y^{2}+10y+25\right)
Consider y^{6}+10y^{5}+25y^{4}. Factor out y^{4}.
\left(y+5\right)^{2}
Consider y^{2}+10y+25. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=y and b=5.
3y^{4}\left(y+5\right)^{2}
Rewrite the complete factored expression.