Simplify (4+5i)-(-7+i)

$(4 + 5 i) - (- 7 + i)$

Step 1

Simplify each term.

Apply the distributive property.

$4 + 5 i - - 7 - i$

Multiply $- 1$ by $- 7$ .

$4 + 5 i + 7 - i$

$4 + 5 i + 7 - i$

Step 2

Simplify by adding terms.

Add $4$ and $7$ .

$11 + 5 i - i$

Subtract $i$ from $5 i$ .

$11 + 4 i$

$11 + 4 i$

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