Algebra Examples

$7 i \cdot (3 i (- 8 - 6 i))$

Step 1

Apply the distributive property.

$7 i \cdot (3 i \cdot - 8 + 3 i (- 6 i))$

Step 2

Multiply $- 8$ by $3$ .

$7 i \cdot (- 24 i + 3 i (- 6 i))$

Step 3

Multiply $3 i (- 6 i)$ .

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Step 3.1

Multiply $- 6$ by $3$ .

$7 i \cdot (- 24 i - 18 i i)$

Step 3.2

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

$7 i \cdot (- 24 i - 18 (i^{1} i))$

Step 3.3

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

$7 i \cdot (- 24 i - 18 (i^{1} i^{1}))$

Step 3.4

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

$7 i \cdot (- 24 i - 18 i^{1 + 1})$

Step 3.5

Add $1$ and $1$ .

$7 i \cdot (- 24 i - 18 i^{2})$

Step 4

Simplify each term.

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Step 4.1

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

$7 i \cdot (- 24 i - 18 \cdot - 1)$

Step 4.2

Multiply $- 18$ by $- 1$ .

$7 i \cdot (- 24 i + 18)$

Step 5

Apply the distributive property.

$7 i (- 24 i) + 7 i \cdot 18$

Step 6

Multiply $7 i (- 24 i)$ .

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Step 6.1

Multiply $- 24$ by $7$ .

$- 168 i i + 7 i \cdot 18$

Step 6.2

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

$- 168 (i^{1} i) + 7 i \cdot 18$

Step 6.3

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

$- 168 (i^{1} i^{1}) + 7 i \cdot 18$

Step 6.4

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

$- 168 i^{1 + 1} + 7 i \cdot 18$

Step 6.5

Add $1$ and $1$ .

$- 168 i^{2} + 7 i \cdot 18$

Step 7

Multiply $18$ by $7$ .

$- 168 i^{2} + 126 i$

Step 8

Simplify each term.

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Step 8.1

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

$- 168 \cdot - 1 + 126 i$

Step 8.2

Multiply $- 168$ by $- 1$ .

$168 + 126 i$