Simplify (8m^2-7n^2)-(n^2-12m^2)

$(8 m^{2} - 7 n^{2}) - (n^{2} - 12 m^{2})$

Step 1

Simplify each term.

Apply the distributive property.

$8 m^{2} - 7 n^{2} - n^{2} - (- 12 m^{2})$

Multiply $- 12$ by $- 1$ .

$8 m^{2} - 7 n^{2} - n^{2} + 12 m^{2}$

$8 m^{2} - 7 n^{2} - n^{2} + 12 m^{2}$

Step 2

Simplify by adding terms.

Add $8 m^{2}$ and $12 m^{2}$ .

$20 m^{2} - 7 n^{2} - n^{2}$

Subtract $n^{2}$ from $- 7 n^{2}$ .

$20 m^{2} - 8 n^{2}$

$20 m^{2} - 8 n^{2}$

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