Simplify (4-10i)-(5-7i)

$(4 - 10 i) - (5 - 7 i)$

Step 1

Simplify each term.

Apply the distributive property.

$4 - 10 i - 1 \cdot 5 - (- 7 i)$

Multiply $- 1$ by $5$ .

$4 - 10 i - 5 - (- 7 i)$

Multiply $- 7$ by $- 1$ .

$4 - 10 i - 5 + 7 i$

$4 - 10 i - 5 + 7 i$

Step 2

Simplify by adding terms.

Subtract $5$ from $4$ .

$- 1 - 10 i + 7 i$

Add $- 10 i$ and $7 i$ .

$- 1 - 3 i$

$- 1 - 3 i$

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