Basic Math Examples

$m + 5 n (m - 5 n)$

Step 1

Apply the distributive property.

$m + 5 n m + 5 n (- 5 n)$

Step 2

Rewrite using the commutative property of multiplication.

$m + 5 n m + 5 \cdot - 5 n \cdot n$

Step 3

Simplify each term.

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Step 3.1

Multiply $n$ by $n$ by adding the exponents.

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Step 3.1.1

Move $n$ .

$m + 5 n m + 5 \cdot - 5 (n \cdot n)$

Step 3.1.2

Multiply $n$ by $n$ .

$m + 5 n m + 5 \cdot - 5 n^{2}$

Step 3.2

Multiply $5$ by $- 5$ .

$m + 5 n m - 25 n^{2}$