Pre-Algebra Examples

$(- w + 2 x) (w - 8)$

Step 1

Expand $(- w + 2 x) (w - 8)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$- w (w - 8) + 2 x (w - 8)$

Step 1.2

Apply the distributive property.

$- w \cdot w - w \cdot - 8 + 2 x (w - 8)$

Step 1.3

Apply the distributive property.

$- w \cdot w - w \cdot - 8 + 2 x w + 2 x \cdot - 8$

Step 2

Simplify terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $w$ by $w$ by adding the exponents.

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Step 2.1.1.1

Move $w$ .

$- (w \cdot w) - w \cdot - 8 + 2 x w + 2 x \cdot - 8$

Step 2.1.1.2

Multiply $w$ by $w$ .

$- w^{2} - w \cdot - 8 + 2 x w + 2 x \cdot - 8$

Step 2.1.2

Multiply $- 8$ by $- 1$ .

$- w^{2} + 8 w + 2 x w + 2 x \cdot - 8$

Step 2.1.3

Multiply $- 8$ by $2$ .

$- w^{2} + 8 w + 2 x w - 16 x$

Step 2.2

Simplify the expression.

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Step 2.2.1

Move $x$ .

$- w^{2} + 8 w + 2 w x - 16 x$

Step 2.2.2

Move $8 w$ .

$- w^{2} + 2 w x - 16 x + 8 w$

Step 2.2.3

Reorder $- w^{2}$ and $2 w x$ .

$2 w x - w^{2} - 16 x + 8 w$