Algebra Examples

$3 c (5 a + 2 b - 1)$

Step 1

Apply the distributive property.

$3 c (5 a) + 3 c (2 b) + 3 c \cdot - 1$

Step 2

Simplify.

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Step 2.1

Rewrite using the commutative property of multiplication.

$3 \cdot 5 c a + 3 c (2 b) + 3 c \cdot - 1$

Step 2.2

Rewrite using the commutative property of multiplication.

$3 \cdot 5 c a + 3 \cdot 2 c b + 3 c \cdot - 1$

Step 2.3

Multiply $- 1$ by $3$ .

$3 \cdot 5 c a + 3 \cdot 2 c b - 3 c$

Step 3

Simplify each term.

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Step 3.1

Multiply $3$ by $5$ .

$15 c a + 3 \cdot 2 c b - 3 c$

Step 3.2

Multiply $3$ by $2$ .

$15 c a + 6 c b - 3 c$

Step 4

Reorder.

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Step 4.1

Move $c$ .

$15 a c + 6 c b - 3 c$

Step 4.2

Move $c$ .

$15 a c + 6 b c - 3 c$