17 + 1 / 2 ( n - 1 ) ( n - 2 ) 12 + 1 / 6 ( r
Evaluate
6n^{2}+\frac{r}{6}-18n+29
Expand
6n^{2}+\frac{r}{6}-18n+29
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17+\frac{12}{2}\left(n-1\right)\left(n-2\right)+\frac{1}{6}r
Multiply \frac{1}{2} and 12 to get \frac{12}{2}.
17+6\left(n-1\right)\left(n-2\right)+\frac{1}{6}r
Divide 12 by 2 to get 6.
17+\left(6n-6\right)\left(n-2\right)+\frac{1}{6}r
Use the distributive property to multiply 6 by n-1.
17+6n^{2}-12n-6n+12+\frac{1}{6}r
Apply the distributive property by multiplying each term of 6n-6 by each term of n-2.
17+6n^{2}-18n+12+\frac{1}{6}r
Combine -12n and -6n to get -18n.
29+6n^{2}-18n+\frac{1}{6}r
Add 17 and 12 to get 29.
17+\frac{12}{2}\left(n-1\right)\left(n-2\right)+\frac{1}{6}r
Multiply \frac{1}{2} and 12 to get \frac{12}{2}.
17+6\left(n-1\right)\left(n-2\right)+\frac{1}{6}r
Divide 12 by 2 to get 6.
17+\left(6n-6\right)\left(n-2\right)+\frac{1}{6}r
Use the distributive property to multiply 6 by n-1.
17+6n^{2}-12n-6n+12+\frac{1}{6}r
Apply the distributive property by multiplying each term of 6n-6 by each term of n-2.
17+6n^{2}-18n+12+\frac{1}{6}r
Combine -12n and -6n to get -18n.
29+6n^{2}-18n+\frac{1}{6}r
Add 17 and 12 to get 29.
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Simultaneous equation
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Differentiation
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Limits
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