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14z^{2}+28z+9
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14z^{2}+28z+9
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9+18z+9z^{2}-5z\left(-2-z\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3+3z\right)^{2}.
9+18z+9z^{2}+10z+5z^{2}
Use the distributive property to multiply -5z by -2-z.
9+28z+9z^{2}+5z^{2}
Combine 18z and 10z to get 28z.
9+28z+14z^{2}
Combine 9z^{2} and 5z^{2} to get 14z^{2}.
9+18z+9z^{2}-5z\left(-2-z\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3+3z\right)^{2}.
9+18z+9z^{2}+10z+5z^{2}
Use the distributive property to multiply -5z by -2-z.
9+28z+9z^{2}+5z^{2}
Combine 18z and 10z to get 28z.
9+28z+14z^{2}
Combine 9z^{2} and 5z^{2} to get 14z^{2}.
Examples
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y = 3x + 4
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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