Basic Math Examples

$5 (3 p + q) - r (3 p + q)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$5 (3 p) + 5 q - r (3 p + q)$

Step 1.2

Multiply $3$ by $5$ .

$15 p + 5 q - r (3 p + q)$

Step 1.3

Apply the distributive property.

$15 p + 5 q - r (3 p) - r q$

Step 1.4

Rewrite using the commutative property of multiplication.

$15 p + 5 q - 1 \cdot 3 r p - r q$

Step 1.5

Multiply $- 1$ by $3$ .

$15 p + 5 q - 3 r p - r q$

Step 2

Reorder.

Tap for more steps...

Step 2.1

Move $r$ .

$15 p + 5 q - 3 p r - r q$

Step 2.2

Move $r$ .

$15 p + 5 q - 3 p r - 1 q r$

Step 2.3

Move $5 q$ .

$15 p - 3 p r - 1 q r + 5 q$

Step 2.4

Move $15 p$ .

$- 3 p r - 1 q r + 15 p + 5 q$