Pre-Algebra Examples

$(n^{4} - 1) \cdot (2 n)$

Step 1

Apply the distributive property.

$n^{4} (2 n) - 1 (2 n)$

Step 2

Simplify the expression.

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Step 2.1

Rewrite using the commutative property of multiplication.

$2 n^{4} n - 1 (2 n)$

Step 2.2

Multiply $2$ by $- 1$ .

$2 n^{4} n - 2 n$

Step 3

Multiply $n^{4}$ by $n$ by adding the exponents.

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Step 3.1

Move $n$ .

$2 (n \cdot n^{4}) - 2 n$

Step 3.2

Multiply $n$ by $n^{4}$ .

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Step 3.2.1

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

$2 (n^{1} n^{4}) - 2 n$

Step 3.2.2

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

$2 n^{1 + 4} - 2 n$

Step 3.3

Add $1$ and $4$ .

$2 n^{5} - 2 n$