Algebra Examples

$3 \cdot (m - 4) - n \cdot (m - 4)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 m + 3 \cdot - 4 - n \cdot (m - 4)$

Step 1.2

Multiply $3$ by $- 4$ .

$3 m - 12 - n \cdot (m - 4)$

Step 1.3

Apply the distributive property.

$3 m - 12 - n m - n \cdot - 4$

Step 1.4

Multiply $- 4$ by $- 1$ .

$3 m - 12 - n m + 4 n$

$3 m - 12 - n m + 4 n$

Step 2

Simplify the expression.

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Step 2.1

Move $n$ .

$3 m - 12 - 1 m n + 4 n$

Step 2.2

Move $- 12$ .

$3 m - 1 m n + 4 n - 12$

Step 2.3

Reorder $3 m$ and $- 1 m n$ .

$- 1 m n + 3 m + 4 n - 12$

$- 1 m n + 3 m + 4 n - 12$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$