Basic Math Examples

$- 4 n^{3} (- 3 m - 6 n + 4 p)$

Step 1

Apply the distributive property.

$- 4 n^{3} (- 3 m) - 4 n^{3} (- 6 n) - 4 n^{3} (4 p)$

Step 2

Simplify.

Tap for more steps...

Step 2.1

Rewrite using the commutative property of multiplication.

$- 4 \cdot - 3 n^{3} m - 4 n^{3} (- 6 n) - 4 n^{3} (4 p)$

Step 2.2

Rewrite using the commutative property of multiplication.

$- 4 \cdot - 3 n^{3} m - 4 \cdot - 6 n^{3} n - 4 n^{3} (4 p)$

Step 2.3

Rewrite using the commutative property of multiplication.

$- 4 \cdot - 3 n^{3} m - 4 \cdot - 6 n^{3} n - 4 \cdot 4 n^{3} p$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Multiply $- 4$ by $- 3$ .

$12 n^{3} m - 4 \cdot - 6 n^{3} n - 4 \cdot 4 n^{3} p$

Step 3.2

Multiply $n^{3}$ by $n$ by adding the exponents.

Tap for more steps...

Step 3.2.1

Move $n$ .

$12 n^{3} m - 4 \cdot - 6 (n \cdot n^{3}) - 4 \cdot 4 n^{3} p$

Step 3.2.2

Multiply $n$ by $n^{3}$ .

Tap for more steps...

Step 3.2.2.1

Raise $n$ to the power of $1$ .

$12 n^{3} m - 4 \cdot - 6 (n^{1} n^{3}) - 4 \cdot 4 n^{3} p$

Step 3.2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$12 n^{3} m - 4 \cdot - 6 n^{1 + 3} - 4 \cdot 4 n^{3} p$

Step 3.2.3

Add $1$ and $3$ .

$12 n^{3} m - 4 \cdot - 6 n^{4} - 4 \cdot 4 n^{3} p$

Step 3.3

Multiply $- 4$ by $- 6$ .

$12 n^{3} m + 24 n^{4} - 4 \cdot 4 n^{3} p$

Step 3.4

Multiply $- 4$ by $4$ .

$12 n^{3} m + 24 n^{4} - 16 n^{3} p$

Step 4

Reorder.

Tap for more steps...

Step 4.1

Move $n^{3}$ .

$12 m n^{3} + 24 n^{4} - 16 n^{3} p$

Step 4.2

Move $24 n^{4}$ .

$12 m n^{3} - 16 n^{3} p + 24 n^{4}$