Trigonometry Examples

$2 i - 5 j - 3 i + 7 j$

Step 1

Regroup terms.

$2 i - 3 i - 5 j + 7 j$

Step 2

Subtract $3 i$ from $2 i$ .

$- i - 5 j + 7 j$

Step 3

Add $- 5 j$ and $7 j$ .

$- i + 2 j$

Step 4

Factor $- 1$ out of $- i + 2 j$ .

Tap for more steps...

Step 4.1

Reorder $- i$ and $2 j$ .

$2 j - i$

Step 4.2

Factor $- 1$ out of $2 j$ .

$- (- 2 j) - i$

Step 4.3

Factor $- 1$ out of $- i$ .

$- (- 2 j) - (i)$

Step 4.4

Factor $- 1$ out of $- (- 2 j) - (i)$ .

$- (- 2 j + i)$

$- (- 2 j + i)$

Step 5

Factor.

Tap for more steps...

Step 5.1

Factor $- 1$ out of $- 2 j + i$ .

Tap for more steps...

Step 5.1.1

Factor $- 1$ out of $- 2 j$ .

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

Step 5.1.2

Factor $- 1$ out of $i$ .

$- (- (2 j) - 1 (- i))$

Step 5.1.3

Factor $- 1$ out of $- (2 j) - 1 (- i)$ .

$- - (2 j - i)$

$- - (2 j - i)$

Step 5.2

Remove unnecessary parentheses.

$- - 1 (2 j - i)$

$- - 1 (2 j - i)$

Step 6

Combine exponents.

Tap for more steps...

Step 6.1

Factor out negative.

$- - (2 j - i)$

Step 6.2

Multiply $- 1$ by $- 1$ .

$1 (2 j - i)$

Step 6.3

Multiply $2 j - i$ by $1$ .

$2 j - i$

$2 j - i$

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