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Simplify (2+4n^2)-(6n^2+7)

$(2 + 4 n^{2}) - (6 n^{2} + 7)$

Step 1

Simplify each term.

Apply the distributive property.

$2 + 4 n^{2} - (6 n^{2}) - 1 \cdot 7$

Multiply $6$ by $- 1$ .

$2 + 4 n^{2} - 6 n^{2} - 1 \cdot 7$

Multiply $- 1$ by $7$ .

$2 + 4 n^{2} - 6 n^{2} - 7$

$2 + 4 n^{2} - 6 n^{2} - 7$

Step 2

Simplify by adding terms.

Subtract $7$ from $2$ .

$4 n^{2} - 6 n^{2} - 5$

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

$- 2 n^{2} - 5$

$- 2 n^{2} - 5$

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