Basic Math Examples

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

Step 1

Remove parentheses.

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

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Apply the distributive property.

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

Step 2.2

Multiply $4$ by $- 1$ .

$3 \sqrt{7} - 4 \sqrt{7} - - i - 4 i - 2 \sqrt{7} + 5 i$

Step 2.3

Multiply $- 1$ by $- 1$ .

$3 \sqrt{7} - 4 \sqrt{7} + 1 i - 4 i - 2 \sqrt{7} + 5 i$

Step 2.4

Multiply $i$ by $1$ .

$3 \sqrt{7} - 4 \sqrt{7} + i - 4 i - 2 \sqrt{7} + 5 i$

Step 3

Simplify by adding terms.

Tap for more steps...

Step 3.1

Subtract $4 \sqrt{7}$ from $3 \sqrt{7}$ .

$- \sqrt{7} + i - 4 i - 2 \sqrt{7} + 5 i$

Step 3.2

Subtract $2 \sqrt{7}$ from $- \sqrt{7}$ .

$i - 4 i - 3 \sqrt{7} + 5 i$

Step 3.3

Subtract $4 i$ from $i$ .

$- 3 i - 3 \sqrt{7} + 5 i$

Step 3.4

Add $- 3 i$ and $5 i$ .

$2 i - 3 \sqrt{7}$

Step 3.5

Reorder $2 i$ and $- 3 \sqrt{7}$ .

$- 3 \sqrt{7} + 2 i$