Algebra Examples

$(4 x + 5) (2 w - 9)$

Step 1

Expand $(4 x + 5) (2 w - 9)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$4 x (2 w - 9) + 5 (2 w - 9)$

Step 1.2

Apply the distributive property.

$4 x (2 w) + 4 x \cdot - 9 + 5 (2 w - 9)$

Step 1.3

Apply the distributive property.

$4 x (2 w) + 4 x \cdot - 9 + 5 (2 w) + 5 \cdot - 9$

Step 2

Simplify each term.

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Step 2.1

Rewrite using the commutative property of multiplication.

$4 \cdot 2 x w + 4 x \cdot - 9 + 5 (2 w) + 5 \cdot - 9$

Step 2.2

Multiply $4$ by $2$ .

$8 x w + 4 x \cdot - 9 + 5 (2 w) + 5 \cdot - 9$

Step 2.3

Multiply $- 9$ by $4$ .

$8 x w - 36 x + 5 (2 w) + 5 \cdot - 9$

Step 2.4

Multiply $2$ by $5$ .

$8 x w - 36 x + 10 w + 5 \cdot - 9$

Step 2.5

Multiply $5$ by $- 9$ .

$8 x w - 36 x + 10 w - 45$