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

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

Step 1

Simplify each term.

Apply the distributive property.

$3 + 2 i - 1 \cdot 5 - (- 7 i)$

Multiply $- 1$ by $5$ .

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

Multiply $- 7$ by $- 1$ .

$3 + 2 i - 5 + 7 i$

$3 + 2 i - 5 + 7 i$

Step 2

Simplify by adding terms.

Subtract $5$ from $3$ .

$- 2 + 2 i + 7 i$

Add $2 i$ and $7 i$ .

$- 2 + 9 i$

$- 2 + 9 i$

Related Questions