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Popular >

simplify (-7-3i)(11-8i)

Solution

simplify

(- 7 - 3 i) (11 - 8 i)

Solution

- 101 + 23 i

Solution steps

(- 7 - 3 i) (11 - 8 i)

Apply complex arithmetic rule:

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

= (- 7 \cdot 11 - (- 3) (- 8)) + (- 7 (- 8) - 3 \cdot 11) i

Simplify

(- 7 \cdot 11 - (- 3) (- 8)) + (- 7 (- 8) - 3 \cdot 11) i : - 101 + 23 i

= - 101 + 23 i

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Frequently Asked Questions (FAQ)

What is (-7-3i)(11-8i) ?
The solution to (-7-3i)(11-8i) is -101+23i