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Trigonometry Examples

(4 + 3 i) - (5 - 7 i)

$(4 + 3 i) - (5 - 7 i)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

4 + 3 i - 1 \cdot 5 - (- 7 i)

$4 + 3 i - 1 \cdot 5 - (- 7 i)$

Step 1.2

Multiply

- 1

$- 1$ by

5

$5$ .

4 + 3 i - 5 - (- 7 i)

$4 + 3 i - 5 - (- 7 i)$

Step 1.3

Multiply

- 7

$- 7$ by

- 1

$- 1$ .

4 + 3 i - 5 + 7 i

$4 + 3 i - 5 + 7 i$

4 + 3 i - 5 + 7 i

$4 + 3 i - 5 + 7 i$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract

5

$5$ from

4

$4$ .

- 1 + 3 i + 7 i

$- 1 + 3 i + 7 i$

Step 2.2

Add

3 i

$3 i$ and

7 i

$7 i$ .

- 1 + 10 i

$- 1 + 10 i$

- 1 + 10 i

$- 1 + 10 i$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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