Simplify (6m^4n^2-3m^2n-6n)-(2m^4n^2+3m^2n+4m)

$(6 m^{4} n^{2} - 3 m^{2} n - 6 n) - (2 m^{4} n^{2} + 3 m^{2} n + 4 m)$

Simplify each term.

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Apply the distributive property.

$6 m^{4} n^{2} - 3 m^{2} n - 6 n - (2 m^{4} n^{2}) - (3 m^{2} n) - (4 m)$

Simplify.

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Multiply $2$ by $- 1$ .

$6 m^{4} n^{2} - 3 m^{2} n - 6 n - 2 (m^{4} n^{2}) - (3 m^{2} n) - (4 m)$

Multiply $3$ by $- 1$ .

$6 m^{4} n^{2} - 3 m^{2} n - 6 n - 2 (m^{4} n^{2}) - 3 (m^{2} n) - (4 m)$

Multiply $4$ by $- 1$ .

$6 m^{4} n^{2} - 3 m^{2} n - 6 n - 2 (m^{4} n^{2}) - 3 (m^{2} n) - 4 m$

Remove parentheses.

$6 m^{4} n^{2} - 3 m^{2} n - 6 n - 2 m^{4} n^{2} - 3 m^{2} n - 4 m$

Simplify by adding terms.

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Subtract $2 m^{4} n^{2}$ from $6 m^{4} n^{2}$ .

$4 m^{4} n^{2} - 3 m^{2} n - 6 n - 3 m^{2} n - 4 m$

Subtract $3 m^{2} n$ from $- 3 m^{2} n$ .

$4 m^{4} n^{2} - 6 m^{2} n - 6 n - 4 m$

Simplify (6m^4n^2-3m^2n-6n)-(2m^4n^2+3m^2n+4m)

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