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25n^{2}-5n-\frac{4}{5}\times 5n-\frac{4}{5}\left(-1\right)
Apply the distributive property by multiplying each term of 5n-\frac{4}{5} by each term of 5n-1.
25n^{2}-5n-4n-\frac{4}{5}\left(-1\right)
Cancel out 5 and 5.
25n^{2}-9n-\frac{4}{5}\left(-1\right)
Combine -5n and -4n to get -9n.
25n^{2}-9n+\frac{4}{5}
Multiply -\frac{4}{5} and -1 to get \frac{4}{5}.
25n^{2}-5n-\frac{4}{5}\times 5n-\frac{4}{5}\left(-1\right)
Apply the distributive property by multiplying each term of 5n-\frac{4}{5} by each term of 5n-1.
25n^{2}-5n-4n-\frac{4}{5}\left(-1\right)
Cancel out 5 and 5.
25n^{2}-9n-\frac{4}{5}\left(-1\right)
Combine -5n and -4n to get -9n.
25n^{2}-9n+\frac{4}{5}
Multiply -\frac{4}{5} and -1 to get \frac{4}{5}.