Algebra Examples

$f (- 125) = \sqrt[3]{- 125 - 1}$

Step 1

Subtract $1$ from $- 125$ .

$f (- 125) = \sqrt[3]{- 126}$

Step 2

Rewrite $- 126$ as ${(- 1)}^{3} \cdot 126$ .

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Step 2.1

Rewrite $- 126$ as $- 1 (126)$ .

$f (- 125) = \sqrt[3]{- 1 \cdot 126}$

Step 2.2

Rewrite $- 1$ as ${(- 1)}^{3}$ .

$f (- 125) = \sqrt[3]{{(- 1)}^{3} \cdot 126}$

Step 3

Pull terms out from under the radical.

$f (- 125) = - 1 \sqrt[3]{126}$

Step 4

Rewrite $- 1 \sqrt[3]{126}$ as $- \sqrt[3]{126}$ .

$f (- 125) = - \sqrt[3]{126}$