What is (5n-2)3n-(5n-2)(n-1) ?

The solution to (5n-2)3n-(5n-2)(n-1) is 10n^2+n-2

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simplify (5n-2)3n-(5n-2)(n-1)

simplify

(5 n - 2) 3 n - (5 n - 2) (n - 1)

10 n^{2} + n - 2

Solution steps

(5 n - 2) \cdot 3 n - (5 n - 2) (n - 1)

= 3 n (5 n - 2) - (5 n - 2) (n - 1)

Expand

3 n (5 n - 2) : 15 n^{2} - 6 n

= 15 n^{2} - 6 n - (5 n - 2) (n - 1)

Expand

- (5 n - 2) (n - 1) : - 5 n^{2} + 7 n - 2

= 15 n^{2} - 6 n - 5 n^{2} + 7 n - 2

Group like terms

= 15 n^{2} - 5 n^{2} - 6 n + 7 n - 2

Add similar elements:

15 n^{2} - 5 n^{2} = 10 n^{2}

= 10 n^{2} - 6 n + 7 n - 2

Add similar elements:

- 6 n + 7 n = n

= 10 n^{2} + n - 2

\frac{∣ 3 x - 1 ∣}{x + 2} > - 1

8 - 3

\frac{x}{3} + 10 = 15

\frac{\frac{1}{6}}{\frac{1}{2}}

\frac{3}{10} + \frac{1}{5}

What is (5n-2)3n-(5n-2)(n-1) ?
The solution to (5n-2)3n-(5n-2)(n-1) is 10n^2+n-2