Algebra Examples

$- 8 m n \cdot (2 m - 3 m p + p^{2})$

Step 1

Apply the distributive property.

$- 8 m n (2 m) - 8 m n (- 3 m p) - 8 m n p^{2}$

Step 2

Simplify.

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Step 2.1

Multiply $m$ by $m$ by adding the exponents.

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Step 2.1.1

Move $m$ .

$- 8 (m \cdot m) n \cdot 2 - 8 m n (- 3 m p) - 8 m n p^{2}$

Step 2.1.2

Multiply $m$ by $m$ .

$- 8 m^{2} n \cdot 2 - 8 m n (- 3 m p) - 8 m n p^{2}$

Step 2.2

Multiply $m$ by $m$ by adding the exponents.

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Step 2.2.1

Move $m$ .

$- 8 m^{2} n \cdot 2 - 8 (m \cdot m) n (- 3 p) - 8 m n p^{2}$

Step 2.2.2

Multiply $m$ by $m$ .

$- 8 m^{2} n \cdot 2 - 8 m^{2} n (- 3 p) - 8 m n p^{2}$

Step 3

Simplify each term.

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Step 3.1

Multiply $2$ by $- 8$ .

$- 16 m^{2} n - 8 m^{2} n (- 3 p) - 8 m n p^{2}$

Step 3.2

Multiply $- 3$ by $- 8$ .

$- 16 m^{2} n + 24 m^{2} n p - 8 m n p^{2}$