Basic Math Examples

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

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

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)

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

Step 1.2

Rewrite using the commutative property of multiplication.

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

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

Step 1.3

Multiply

- 10

$- 10$ by

- 2

$- 2$ .

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

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

Step 1.4

Simplify each term.

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Step 1.4.1

Multiply

n

$n$ by

n

$n$ by adding the exponents.

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Step 1.4.1.1

Move

n

$n$ .

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

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

Step 1.4.1.2

Multiply

n

$n$ by

n

$n$ .

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

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

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

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

Step 1.4.2

Multiply

- 2

$- 2$ by

- 8

$- 8$ .

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

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

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

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

Step 1.5

Apply the distributive property.

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

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

Step 1.6

Multiply

- 10

$- 10$ by

- 6

$- 6$ .

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

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

Step 1.7

Multiply

- 6

$- 6$ by

- 3

$- 3$ .

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

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

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

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

Step 2

Add

20 n

$20 n$ and

60 n

$60 n$ .

16 n^{2} + 80 n + 18

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