Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $2$ by $- 1$ .

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

Step 1.2.2

Multiply $3$ by $- 1$ .

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

Step 1.2.3

Multiply $4$ by $- 1$ .

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

Step 1.3

Remove parentheses.

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

Step 2

Simplify by adding terms.

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Step 2.1

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

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

Step 2.2

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

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