Simplify (7+5i)-(-2+(-3i))

$(7 + 5 i) - (- 2 + (- 3 i))$

Step 1

Remove parentheses.

$7 + 5 i - (- 2 - 3 i)$

Step 2

Simplify each term.

Apply the distributive property.

$7 + 5 i - - 2 - (- 3 i)$

Multiply $- 1$ by $- 2$ .

$7 + 5 i + 2 - (- 3 i)$

Multiply $- 3$ by $- 1$ .

$7 + 5 i + 2 + 3 i$

$7 + 5 i + 2 + 3 i$

Step 3

Simplify by adding terms.

Add $7$ and $2$ .

$9 + 5 i + 3 i$

Add $5 i$ and $3 i$ .

$9 + 8 i$

$9 + 8 i$

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