Algebra Examples

$(3 + 5 i) (2 - 7 i^{4})$

Step 1

Simplify each term.

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Step 1.1

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

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Step 1.1.1

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

$(3 + 5 i) (2 - 7 {(i^{2})}^{2})$

Step 1.1.2

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

$(3 + 5 i) (2 - 7 {(- 1)}^{2})$

Step 1.1.3

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

$(3 + 5 i) (2 - 7 \cdot 1)$

$(3 + 5 i) (2 - 7 \cdot 1)$

Step 1.2

Multiply $- 7$ by $1$ .

$(3 + 5 i) (2 - 7)$

$(3 + 5 i) (2 - 7)$

Step 2

Simplify by multiplying through.

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Step 2.1

Subtract $7$ from $2$ .

$(3 + 5 i) \cdot - 5$

Step 2.2

Apply the distributive property.

$3 \cdot - 5 + 5 i \cdot - 5$

Step 2.3

Multiply.

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Step 2.3.1

Multiply $3$ by $- 5$ .

$- 15 + 5 i \cdot - 5$

Step 2.3.2

Multiply $- 5$ by $5$ .

$- 15 - 25 i$

$- 15 - 25 i$

$- 15 - 25 i$

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