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14z^{2}+16z+4
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14z^{2}+16z+4
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4+12z+9z^{2}+z\left(4+5z\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2+3z\right)^{2}.
4+12z+9z^{2}+4z+5z^{2}
Use the distributive property to multiply z by 4+5z.
4+16z+9z^{2}+5z^{2}
Combine 12z and 4z to get 16z.
4+16z+14z^{2}
Combine 9z^{2} and 5z^{2} to get 14z^{2}.
4+12z+9z^{2}+z\left(4+5z\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2+3z\right)^{2}.
4+12z+9z^{2}+4z+5z^{2}
Use the distributive property to multiply z by 4+5z.
4+16z+9z^{2}+5z^{2}
Combine 12z and 4z to get 16z.
4+16z+14z^{2}
Combine 9z^{2} and 5z^{2} to get 14z^{2}.
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