Calculus Examples

$144 \cdot 12 - \frac{1}{3} \cdot 12^{3}$

Step 1

Simplify each term.

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Step 1.1

Multiply $144$ by $12$ .

$1728 - \frac{1}{3} \cdot 12^{3}$

Step 1.2

Raise $12$ to the power of $3$ .

$1728 - \frac{1}{3} \cdot 1728$

Step 1.3

Cancel the common factor of $3$ .

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Step 1.3.1

Move the leading negative in $- \frac{1}{3}$ into the numerator.

$1728 + \frac{- 1}{3} \cdot 1728$

Step 1.3.2

Factor $3$ out of $1728$ .

$1728 + \frac{- 1}{3} \cdot (3 (576))$

Step 1.3.3

Cancel the common factor.

$1728 + \frac{- 1}{3} \cdot (3 \cdot 576)$

Step 1.3.4

Rewrite the expression.

$1728 - 1 \cdot 576$

Step 1.4

Multiply $- 1$ by $576$ .

$1728 - 576$

Step 2

Subtract $576$ from $1728$ .

$1152$