Algebra Examples

$- 3 a (5 b - c)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$- 3 a (5 b) - 3 a (- c)$

Step 1.2

Reorder.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

$- 3 \cdot 5 a b - 3 a (- c)$

Step 1.2.2

Rewrite using the commutative property of multiplication.

$- 3 \cdot 5 a b - 3 \cdot - 1 a c$

Step 2

Simplify each term.

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Step 2.1

Multiply $- 3$ by $5$ .

$- 15 a b - 3 \cdot - 1 a c$

Step 2.2

Multiply $- 3$ by $- 1$ .

$- 15 a b + 3 a c$