Finite Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $- 1$ by $3$ .

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

Step 1.3

Multiply $3$ by $3$ .

$- 3 i + 9 j - (- i - 2 j)$

Step 1.4

Apply the distributive property.

$- 3 i + 9 j - - i - (- 2 j)$

Step 1.5

Multiply $- 1$ by $- 1$ .

$- 3 i + 9 j + 1 i - (- 2 j)$

Step 1.6

Multiply $- 2$ by $- 1$ .

$- 3 i + 9 j + 1 i + 2 j$

Step 1.7

Multiply $i$ by $1$ .

$- 3 i + 9 j + i + 2 j$

$- 3 i + 9 j + i + 2 j$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 3 i$ and $i$ .

$9 j - 2 i + 2 j$

Step 2.2

Add $9 j$ and $2 j$ .

$11 j - 2 i$

$11 j - 2 i$

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