Simplify (4w^2-7w-6)-(8w^2+2w-3)

$(4 w^{2} - 7 w - 6) - (8 w^{2} + 2 w - 3)$

Step 1

Simplify each term.

Apply the distributive property.

$4 w^{2} - 7 w - 6 - (8 w^{2}) - (2 w) - - 3$

Simplify.

Multiply $8$ by $- 1$ .

$4 w^{2} - 7 w - 6 - 8 w^{2} - (2 w) - - 3$

Multiply $2$ by $- 1$ .

$4 w^{2} - 7 w - 6 - 8 w^{2} - 2 w - - 3$

Multiply $- 1$ by $- 3$ .

$4 w^{2} - 7 w - 6 - 8 w^{2} - 2 w + 3$

$4 w^{2} - 7 w - 6 - 8 w^{2} - 2 w + 3$

$4 w^{2} - 7 w - 6 - 8 w^{2} - 2 w + 3$

Step 2

Simplify by adding terms.

Subtract $8 w^{2}$ from $4 w^{2}$ .

$- 4 w^{2} - 7 w - 6 - 2 w + 3$

Subtract $2 w$ from $- 7 w$ .

$- 4 w^{2} - 9 w - 6 + 3$

Add $- 6$ and $3$ .

$- 4 w^{2} - 9 w - 3$

$- 4 w^{2} - 9 w - 3$

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