Algebra Examples

$x {(3 i^{2})}^{3} + 2 x i^{12}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $i^{2}$ as $- 1$ .

$x {(3 \cdot - 1)}^{3} + 2 x i^{12}$

Step 1.2

Multiply $3$ by $- 1$ .

$x {(- 3)}^{3} + 2 x i^{12}$

Step 1.3

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

$x \cdot - 27 + 2 x i^{12}$

Step 1.4

Move $- 27$ to the left of $x$ .

$- 27 \cdot x + 2 x i^{12}$

Step 1.5

Rewrite $i^{12}$ as ${(i^{4})}^{3}$ .

$- 27 x + 2 x {(i^{4})}^{3}$

Step 1.6

Rewrite $i^{4}$ as $1$ .

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Step 1.6.1

Rewrite $i^{4}$ as ${(i^{2})}^{2}$ .

$- 27 x + 2 x {({(i^{2})}^{2})}^{3}$

Step 1.6.2

Rewrite $i^{2}$ as $- 1$ .

$- 27 x + 2 x {({(- 1)}^{2})}^{3}$

Step 1.6.3

Raise $- 1$ to the power of $2$ .

$- 27 x + 2 x \cdot 1^{3}$

$- 27 x + 2 x \cdot 1^{3}$

Step 1.7

One to any power is one.

$- 27 x + 2 x \cdot 1$

Step 1.8

Multiply $2$ by $1$ .

$- 27 x + 2 x$

$- 27 x + 2 x$

Step 2

Add $- 27 x$ and $2 x$ .

$- 25 x$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$