Evaluate
\left(y+2\right)\left(y^{2}+13y+15\right)
Expand
y^{3}+15y^{2}+41y+30
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y^{3}+2y^{2}+13y\left(y+2\right)+15\left(y+2\right)
Use the distributive property to multiply y^{2} by y+2.
y^{3}+2y^{2}+13y^{2}+26y+15\left(y+2\right)
Use the distributive property to multiply 13y by y+2.
y^{3}+15y^{2}+26y+15\left(y+2\right)
Combine 2y^{2} and 13y^{2} to get 15y^{2}.
y^{3}+15y^{2}+26y+15y+30
Use the distributive property to multiply 15 by y+2.
y^{3}+15y^{2}+41y+30
Combine 26y and 15y to get 41y.
y^{3}+2y^{2}+13y\left(y+2\right)+15\left(y+2\right)
Use the distributive property to multiply y^{2} by y+2.
y^{3}+2y^{2}+13y^{2}+26y+15\left(y+2\right)
Use the distributive property to multiply 13y by y+2.
y^{3}+15y^{2}+26y+15\left(y+2\right)
Combine 2y^{2} and 13y^{2} to get 15y^{2}.
y^{3}+15y^{2}+26y+15y+30
Use the distributive property to multiply 15 by y+2.
y^{3}+15y^{2}+41y+30
Combine 26y and 15y to get 41y.
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