Evaluate
\left(y+8\right)\left(\left(y+4\right)^{2}-4y\right)
Expand
y^{3}+12y^{2}+48y+128
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y^{3}+12y^{2}+48y+64+64
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(y+4\right)^{3}.
y^{3}+12y^{2}+48y+128
Add 64 and 64 to get 128.
y^{3}+12y^{2}+48y+64+64
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(y+4\right)^{3}.
y^{3}+12y^{2}+48y+128
Add 64 and 64 to get 128.
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