Simplify (3n^2+n)-(2n+4n^2)

$(3 n^{2} + n) - (2 n + 4 n^{2})$

Simplify each term.

Apply the distributive property.

$3 n^{2} + n - (2 n) - (4 n^{2})$

Multiply $2$ by $- 1$ .

$3 n^{2} + n - 2 n - (4 n^{2})$

Multiply $4$ by $- 1$ .

$3 n^{2} + n - 2 n - 4 n^{2}$

$3 n^{2} + n - 2 n - 4 n^{2}$

Simplify by adding terms.

Subtract $4 n^{2}$ from $3 n^{2}$ .

$- n^{2} + n - 2 n$

Subtract $2 n$ from $n$ .

$- n^{2} - n$

$- n^{2} - n$

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