Simplify (4+2i)-(1-7i)

$(4 + 2 i) - (1 - 7 i)$

Simplify each term.

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Apply the distributive property.

$4 + 2 i - 1 \cdot 1 - (- 7 i)$

Multiply $- 1$ by $1$ .

$4 + 2 i - 1 - (- 7 i)$

Multiply $- 7$ by $- 1$ .

$4 + 2 i - 1 + 7 i$

Simplify by adding terms.

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Subtract $1$ from $4$ .

$3 + 2 i + 7 i$

Add $2 i$ and $7 i$ .

$3 + 9 i$

Simplify (4+2i)-(1-7i)

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