Basic Math Examples

$- 2.5 n (1 - 2 n) - 1.5 n$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 2.5 n \cdot 1 - 2.5 n (- 2 n) - 1.5 n$

Step 1.2

Multiply $- 2.5$ by $1$ .

$- 2.5 n - 2.5 n (- 2 n) - 1.5 n$

Step 1.3

Rewrite using the commutative property of multiplication.

$- 2.5 n - 2.5 \cdot - 2 n \cdot n - 1.5 n$

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 $n$ .

$- 2.5 n - 2.5 \cdot - 2 (n \cdot n) - 1.5 n$

Step 1.4.1.2

Multiply $n$ by $n$ .

$- 2.5 n - 2.5 \cdot - 2 n^{2} - 1.5 n$

Step 1.4.2

Multiply $- 2.5$ by $- 2$ .

$- 2.5 n + 5 n^{2} - 1.5 n$

Step 2

Subtract $1.5 n$ from $- 2.5 n$ .

$5 n^{2} - 4 n$