Simplify (2x^2+9-5x^2)-(-6x^2+5)

$(2 x^{2} + 9 - 5 x^{2}) - (- 6 x^{2} + 5)$

Simplify each term.

Apply the distributive property.

$2 x^{2} + 9 - 5 x^{2} - (- 6 x^{2}) - 1 \cdot 5$

Multiply $- 6$ by $- 1$ .

$2 x^{2} + 9 - 5 x^{2} + 6 x^{2} - 1 \cdot 5$

Multiply $- 1$ by $5$ .

$2 x^{2} + 9 - 5 x^{2} + 6 x^{2} - 5$

$2 x^{2} + 9 - 5 x^{2} + 6 x^{2} - 5$

Simplify by adding terms.

Subtract $5 x^{2}$ from $2 x^{2}$ .

$- 3 x^{2} + 9 + 6 x^{2} - 5$

Add $- 3 x^{2}$ and $6 x^{2}$ .

$3 x^{2} + 9 - 5$

Subtract $5$ from $9$ .

$3 x^{2} + 4$

$3 x^{2} + 4$

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