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Popular >

simplify (-4-5i)(9+2i)

Solution

simplify

(- 4 - 5 i) (9 + 2 i)

Solution

- 26 - 53 i

Solution steps

(- 4 - 5 i) (9 + 2 i)

Apply complex arithmetic rule:

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

= (- 4 \cdot 9 - (- 5) \cdot 2) + (- 4 \cdot 2 - 5 \cdot 9) i

Simplify

(- 4 \cdot 9 - (- 5) \cdot 2) + (- 4 \cdot 2 - 5 \cdot 9) i : - 26 - 53 i

= - 26 - 53 i

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Frequently Asked Questions (FAQ)

What is (-4-5i)(9+2i) ?
The solution to (-4-5i)(9+2i) is -26-53i