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n^{2}+6n+15
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n^{2}+6n+15
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n^{2}+4n+4+2\left(n+2\right)+7
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(n+2\right)^{2}.
n^{2}+4n+4+2n+4+7
Use the distributive property to multiply 2 by n+2.
n^{2}+6n+4+4+7
Combine 4n and 2n to get 6n.
n^{2}+6n+8+7
Add 4 and 4 to get 8.
n^{2}+6n+15
Add 8 and 7 to get 15.
n^{2}+4n+4+2\left(n+2\right)+7
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(n+2\right)^{2}.
n^{2}+4n+4+2n+4+7
Use the distributive property to multiply 2 by n+2.
n^{2}+6n+4+4+7
Combine 4n and 2n to get 6n.
n^{2}+6n+8+7
Add 4 and 4 to get 8.
n^{2}+6n+15
Add 8 and 7 to get 15.
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