Simplify (2w^2+w+4)-2w^2+4w-8(-6w^2-5w+6)

$(2 w^{2} + w + 4) - 2 w^{2} + 4 w - 8 (- 6 w^{2} - 5 w + 6)$

Step 1

Combine the opposite terms in

$(2 w^{2} + w + 4) - 2 w^{2} + 4 w - 8 (- 6 w^{2} - 5 w + 6)$ .

Subtract

$2 w^{2}$ from

$2 w^{2}$ .

$w + 4 + 0 + 4 w - 8 (- 6 w^{2} - 5 w + 6)$

Add

$w + 4$ and

$0$ .

$w + 4 + 4 w - 8 (- 6 w^{2} - 5 w + 6)$

Step 2

Simplify each term.

Apply the distributive property.

$w + 4 + 4 w - 8 (- 6 w^{2}) - 8 (- 5 w) - 8 \cdot 6$

Simplify.

Multiply

$- 6$ by

$- 8$ .

$w + 4 + 4 w + 48 w^{2} - 8 (- 5 w) - 8 \cdot 6$

Multiply

$- 5$ by

$- 8$ .

$w + 4 + 4 w + 48 w^{2} + 40 w - 8 \cdot 6$

Multiply

$- 8$ by

$6$ .

$w + 4 + 4 w + 48 w^{2} + 40 w - 48$

Step 3

Simplify by adding terms.

Add

$w$ and

$4 w$ .

$5 w + 4 + 48 w^{2} + 40 w - 48$

Add

$5 w$ and

$40 w$ .

$45 w + 4 + 48 w^{2} - 48$

Simplify the expression.

Subtract

$48$ from

$4$ .

$45 w + 48 w^{2} - 44$

Reorder

$45 w$ and

$48 w^{2}$ .

$48 w^{2} + 45 w - 44$

Simplify (2w^2+w+4)-2w^2+4w-8(-6w^2-5w+6)

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