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Popular >

simplify (-4-3i)(5-7i)

Solution

simplify

(- 4 - 3 i) (5 - 7 i)

Solution

- 41 + 13 i

Solution steps

(- 4 - 3 i) (5 - 7 i)

Apply complex arithmetic rule:

(a + bi) (c + d i) = (a c - b d) + (a d + b c) i

= (- 4 \cdot 5 - (- 3) (- 7)) + (- 4 (- 7) - 3 \cdot 5) i

Simplify

(- 4 \cdot 5 - (- 3) (- 7)) + (- 4 (- 7) - 3 \cdot 5) i : - 41 + 13 i

= - 41 + 13 i

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Frequently Asked Questions (FAQ)

What is (-4-3i)(5-7i) ?
The solution to (-4-3i)(5-7i) is -41+13i