Basic Math Examples

$- 2 n (- 8 n - 10) - 6 (- 10 n - 3)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 2 n (- 8 n) - 2 n \cdot - 10 - 6 (- 10 n - 3)$

Step 1.2

Rewrite using the commutative property of multiplication.

$- 2 \cdot - 8 n \cdot n - 2 n \cdot - 10 - 6 (- 10 n - 3)$

Step 1.3

Multiply $- 10$ by $- 2$ .

$- 2 \cdot - 8 n \cdot n + 20 n - 6 (- 10 n - 3)$

Step 1.4

Simplify each term.

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Step 1.4.1

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

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Step 1.4.1.1

Move $n$ .

$- 2 \cdot - 8 (n \cdot n) + 20 n - 6 (- 10 n - 3)$

Step 1.4.1.2

Multiply $n$ by $n$ .

$- 2 \cdot - 8 n^{2} + 20 n - 6 (- 10 n - 3)$

Step 1.4.2

Multiply $- 2$ by $- 8$ .

$16 n^{2} + 20 n - 6 (- 10 n - 3)$

Step 1.5

Apply the distributive property.

$16 n^{2} + 20 n - 6 (- 10 n) - 6 \cdot - 3$

Step 1.6

Multiply $- 10$ by $- 6$ .

$16 n^{2} + 20 n + 60 n - 6 \cdot - 3$

Step 1.7

Multiply $- 6$ by $- 3$ .

$16 n^{2} + 20 n + 60 n + 18$

Step 2

Add $20 n$ and $60 n$ .

$16 n^{2} + 80 n + 18$