Basic Math Examples

$\frac{1500^{3} - 2 \cdot 1500 + 2}{1500 - 2}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $1500$ to the power of $3$ .

$\frac{3375000000 - 2 \cdot 1500 + 2}{1500 - 2}$

Step 1.2

Multiply $- 2$ by $1500$ .

$\frac{3375000000 - 3000 + 2}{1500 - 2}$

Step 1.3

Subtract $3000$ from $3375000000$ .

$\frac{3374997000 + 2}{1500 - 2}$

Step 1.4

Add $3374997000$ and $2$ .

$\frac{3374997002}{1500 - 2}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Subtract $2$ from $1500$ .

$\frac{3374997002}{1498}$

Step 2.2

Cancel the common factor of $3374997002$ and $1498$ .

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Step 2.2.1

Factor $2$ out of $3374997002$ .

$\frac{2 (1687498501)}{1498}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $2$ out of $1498$ .

$\frac{2 \cdot 1687498501}{2 \cdot 749}$

Step 2.2.2.2

Cancel the common factor.

$\frac{2 \cdot 1687498501}{2 \cdot 749}$

Step 2.2.2.3

Rewrite the expression.

$\frac{1687498501}{749}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1687498501}{749}$

Decimal Form:

$2253002.00400534$

Mixed Number Form:

$2253002 \frac{3}{749}$