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

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

Step 1

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $2$ by $- 1$ .

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

Multiply $3$ by $- 1$ .

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

Multiply $- 1$ by $- 6$ .

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

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

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

Step 2

Simplify by adding terms.

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

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

Subtract $3 w$ from $- 4 w$ .

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

Add $- 8$ and $6$ .

$2 w^{2} - 7 w - 2$

$2 w^{2} - 7 w - 2$

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