Evaluate
8\left(n-1\right)\left(2n+3\right)
Expand
16n^{2}+8n-24
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16n^{2}+8n+1-5^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4n+1\right)^{2}.
16n^{2}+8n+1-25
Calculate 5 to the power of 2 and get 25.
16n^{2}+8n-24
Subtract 25 from 1 to get -24.
16n^{2}+8n+1-5^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4n+1\right)^{2}.
16n^{2}+8n+1-25
Calculate 5 to the power of 2 and get 25.
16n^{2}+8n-24
Subtract 25 from 1 to get -24.
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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 ) }
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Limits
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