Pre-Algebra Examples

${(f - 4)}^{3}$

Step 1

Use the Binomial Theorem.

$f^{3} + 3 f^{2} \cdot - 4 + 3 f {(- 4)}^{2} + {(- 4)}^{3}$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Multiply $- 4$ by $3$ .

$f^{3} - 12 f^{2} + 3 f {(- 4)}^{2} + {(- 4)}^{3}$

Step 2.2

Raise $- 4$ to the power of $2$ .

$f^{3} - 12 f^{2} + 3 f \cdot 16 + {(- 4)}^{3}$

Step 2.3

Multiply $16$ by $3$ .

$f^{3} - 12 f^{2} + 48 f + {(- 4)}^{3}$

Step 2.4

Raise $- 4$ to the power of $3$ .

$f^{3} - 12 f^{2} + 48 f - 64$