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Popular >

simplify (9+8i)(5-5i)

Solution

simplify

(9 + 8 i) (5 - 5 i)

Solution

85 - 5 i

Solution steps

(9 + 8 i) (5 - 5 i)

Apply complex arithmetic rule:

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

= (9 \cdot 5 - 8 (- 5)) + (9 (- 5) + 8 \cdot 5) i

Simplify

(9 \cdot 5 - 8 (- 5)) + (9 (- 5) + 8 \cdot 5) i : 85 - 5 i

= 85 - 5 i

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Frequently Asked Questions (FAQ)

What is (9+8i)(5-5i) ?
The solution to (9+8i)(5-5i) is 85-5i