Finite Math Examples

$- 8 i (9 i + 6) - 6 (1 + 3 i)$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 8 i (9 i) - 8 i \cdot 6 - 6 (1 + 3 i)$

Step 1.1.2

Multiply $- 8 i (9 i)$ .

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Step 1.1.2.1

Multiply $9$ by $- 8$ .

$- 72 i i - 8 i \cdot 6 - 6 (1 + 3 i)$

Step 1.1.2.2

Raise $i$ to the power of $1$ .

$- 72 (i^{1} i) - 8 i \cdot 6 - 6 (1 + 3 i)$

Step 1.1.2.3

Raise $i$ to the power of $1$ .

$- 72 (i^{1} i^{1}) - 8 i \cdot 6 - 6 (1 + 3 i)$

Step 1.1.2.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- 72 i^{1 + 1} - 8 i \cdot 6 - 6 (1 + 3 i)$

Step 1.1.2.5

Add $1$ and $1$ .

$- 72 i^{2} - 8 i \cdot 6 - 6 (1 + 3 i)$

Step 1.1.3

Multiply $6$ by $- 8$ .

$- 72 i^{2} - 48 i - 6 (1 + 3 i)$

Step 1.1.4

Simplify each term.

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Step 1.1.4.1

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

$- 72 \cdot - 1 - 48 i - 6 (1 + 3 i)$

Step 1.1.4.2

Multiply $- 72$ by $- 1$ .

$72 - 48 i - 6 (1 + 3 i)$

Step 1.1.5

Apply the distributive property.

$72 - 48 i - 6 \cdot 1 - 6 (3 i)$

Step 1.1.6

Multiply $- 6$ by $1$ .

$72 - 48 i - 6 - 6 (3 i)$

Step 1.1.7

Multiply $3$ by $- 6$ .

$72 - 48 i - 6 - 18 i$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Subtract $6$ from $72$ .

$66 - 48 i - 18 i$

Step 1.2.2

Subtract $18 i$ from $- 48 i$ .

$66 - 66 i$

Step 2

The degree cannot be determined because $66 - 66 i$ is not a polynomial.

Not a polynomial