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Simplify (2w^2+5)-(6w^2-3w+4)

$(2 w^{2} + 5) - (6 w^{2} - 3 w + 4)$

Step 1

Simplify each term.

Apply the distributive property.

$2 w^{2} + 5 - (6 w^{2}) - (- 3 w) - 1 \cdot 4$

Simplify.

Multiply $6$ by $- 1$ .

$2 w^{2} + 5 - 6 w^{2} - (- 3 w) - 1 \cdot 4$

Multiply $- 3$ by $- 1$ .

$2 w^{2} + 5 - 6 w^{2} + 3 w - 1 \cdot 4$

Multiply $- 1$ by $4$ .

$2 w^{2} + 5 - 6 w^{2} + 3 w - 4$

$2 w^{2} + 5 - 6 w^{2} + 3 w - 4$

$2 w^{2} + 5 - 6 w^{2} + 3 w - 4$

Step 2

Simplify by adding terms.

Subtract $6 w^{2}$ from $2 w^{2}$ .

$- 4 w^{2} + 5 + 3 w - 4$

Subtract $4$ from $5$ .

$- 4 w^{2} + 3 w + 1$

$- 4 w^{2} + 3 w + 1$

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