Algebra Examples

$(a + b) (c - d)$

Step 1

Expand $(a + b) (c - d)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$a (c - d) + b (c - d)$

Step 1.2

Apply the distributive property.

$a c + a (- d) + b (c - d)$

Step 1.3

Apply the distributive property.

$a c + a (- d) + b c + b (- d)$

Step 2

Simplify each term.

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Step 2.1

Rewrite using the commutative property of multiplication.

$a c - a d + b c + b (- d)$

Step 2.2

Rewrite using the commutative property of multiplication.

$a c - a d + b c - b d$