Simplify (-5+7i)-(-6+i)-(-6+5i)

$(- 5 + 7 i) - (- 6 + i) - (- 6 + 5 i)$

Step 1

Simplify each term.

Apply the distributive property.

$- 5 + 7 i - - 6 - i - (- 6 + 5 i)$

Multiply $- 1$ by $- 6$ .

$- 5 + 7 i + 6 - i - (- 6 + 5 i)$

Apply the distributive property.

$- 5 + 7 i + 6 - i - - 6 - (5 i)$

Multiply $- 1$ by $- 6$ .

$- 5 + 7 i + 6 - i + 6 - (5 i)$

Multiply $5$ by $- 1$ .

$- 5 + 7 i + 6 - i + 6 - 5 i$

$- 5 + 7 i + 6 - i + 6 - 5 i$

Step 2

Simplify by adding terms.

Add $- 5$ and $6$ .

$1 + 7 i - i + 6 - 5 i$

Add $1$ and $6$ .

$7 + 7 i - i - 5 i$

Subtract $i$ from $7 i$ .

$7 + 6 i - 5 i$

Subtract $5 i$ from $6 i$ .

$7 + i$

$7 + i$

Related Questions