Algebra Examples

$(i^{2} + 3) - (7 + i^{3})$

Step 1

Simplify each term.

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Step 1.1

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

$- 1 + 3 - (7 + i^{3})$

Step 1.2

Simplify each term.

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Step 1.2.1

Factor out $i^{2}$ .

$- 1 + 3 - (7 + i^{2} \cdot i)$

Step 1.2.2

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

$- 1 + 3 - (7 - 1 \cdot i)$

Step 1.2.3

Rewrite $- 1 i$ as $- i$ .

$- 1 + 3 - (7 - i)$

$- 1 + 3 - (7 - i)$

Step 1.3

Apply the distributive property.

$- 1 + 3 - 1 \cdot 7 - - i$

Step 1.4

Multiply $- 1$ by $7$ .

$- 1 + 3 - 7 - - i$

Step 1.5

Multiply $- 1$ by $- 1$ .

$- 1 + 3 - 7 + 1 i$

Step 1.6

Multiply $i$ by $1$ .

$- 1 + 3 - 7 + i$

$- 1 + 3 - 7 + i$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $- 1$ and $3$ .

$2 - 7 + i$

Step 2.2

Subtract $7$ from $2$ .

$- 5 + i$

$- 5 + i$

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