Evaluate
k\left(\frac{41k}{2}-1\right)
Expand
\frac{41k^{2}}{2}-k
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17.5k^{2}-\left(4k-3k\left(k+1\right)\right)
Multiply 3.5 and 5 to get 17.5.
17.5k^{2}-\left(4k-3k^{2}-3k\right)
Use the distributive property to multiply -3k by k+1.
17.5k^{2}-\left(k-3k^{2}\right)
Combine 4k and -3k to get k.
17.5k^{2}-k+3k^{2}
To find the opposite of k-3k^{2}, find the opposite of each term.
20.5k^{2}-k
Combine 17.5k^{2} and 3k^{2} to get 20.5k^{2}.
17.5k^{2}-\left(4k-3k\left(k+1\right)\right)
Multiply 3.5 and 5 to get 17.5.
17.5k^{2}-\left(4k-3k^{2}-3k\right)
Use the distributive property to multiply -3k by k+1.
17.5k^{2}-\left(k-3k^{2}\right)
Combine 4k and -3k to get k.
17.5k^{2}-k+3k^{2}
To find the opposite of k-3k^{2}, find the opposite of each term.
20.5k^{2}-k
Combine 17.5k^{2} and 3k^{2} to get 20.5k^{2}.
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