Precalculus Examples

$(4 + i) - (2 - 3 i) - (3 - 2 i)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 + i - 1 \cdot 2 - (- 3 i) - (3 - 2 i)$

Step 1.2

Multiply $- 1$ by $2$ .

$4 + i - 2 - (- 3 i) - (3 - 2 i)$

Step 1.3

Multiply $- 3$ by $- 1$ .

$4 + i - 2 + 3 i - (3 - 2 i)$

Step 1.4

Apply the distributive property.

$4 + i - 2 + 3 i - 1 \cdot 3 - (- 2 i)$

Step 1.5

Multiply $- 1$ by $3$ .

$4 + i - 2 + 3 i - 3 - (- 2 i)$

Step 1.6

Multiply $- 2$ by $- 1$ .

$4 + i - 2 + 3 i - 3 + 2 i$

$4 + i - 2 + 3 i - 3 + 2 i$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $2$ from $4$ .

$2 + i + 3 i - 3 + 2 i$

Step 2.2

Subtract $3$ from $2$ .

$- 1 + i + 3 i + 2 i$

Step 2.3

Add $i$ and $3 i$ .

$- 1 + 4 i + 2 i$

Step 2.4

Add $4 i$ and $2 i$ .

$- 1 + 6 i$

$- 1 + 6 i$

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