Algebra Examples

$5 (m n - 3) + 10 (m n - 8)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 (m n) + 5 \cdot - 3 + 10 (m n - 8)$

Step 1.2

Multiply $5$ by $- 3$ .

$5 m n - 15 + 10 (m n - 8)$

Step 1.3

Apply the distributive property.

$5 m n - 15 + 10 (m n) + 10 \cdot - 8$

Step 1.4

Multiply $10$ by $- 8$ .

$5 m n - 15 + 10 m n - 80$

$5 m n - 15 + 10 m n - 80$

Step 2

Simplify by adding terms.

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Step 2.1

Add $5 m n$ and $10 m n$ .

$15 m n - 15 - 80$

Step 2.2

Subtract $80$ from $- 15$ .

$15 m n - 95$

$15 m n - 95$

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