Basic Math Examples

$(5 a + 4 b) (2 c + d)$

Step 1

Expand $(5 a + 4 b) (2 c + d)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$5 a (2 c + d) + 4 b (2 c + d)$

Step 1.2

Apply the distributive property.

$5 a (2 c) + 5 a d + 4 b (2 c + d)$

Step 1.3

Apply the distributive property.

$5 a (2 c) + 5 a d + 4 b (2 c) + 4 b d$

Step 2

Simplify each term.

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Step 2.1

Rewrite using the commutative property of multiplication.

$5 \cdot 2 a c + 5 a d + 4 b (2 c) + 4 b d$

Step 2.2

Multiply $5$ by $2$ .

$10 a c + 5 a d + 4 b (2 c) + 4 b d$

Step 2.3

Rewrite using the commutative property of multiplication.

$10 a c + 5 a d + 4 \cdot 2 b c + 4 b d$

Step 2.4

Multiply $4$ by $2$ .

$10 a c + 5 a d + 8 b c + 4 b d$