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Popular >

simplify (1+i)(9-8i)

Solution

simplify

(1 + i) (9 - 8 i)

Solution

17 + i

Solution steps

(1 + i) (9 - 8 i)

Apply complex arithmetic rule:

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

= (1 \cdot 9 - 1 \cdot (- 8)) + (1 \cdot (- 8) + 1 \cdot 9) i

Simplify

(1 \cdot 9 - 1 \cdot (- 8)) + (1 \cdot (- 8) + 1 \cdot 9) i : 17 + i

= 17 + i

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Frequently Asked Questions (FAQ)

What is (1+i)(9-8i) ?
The solution to (1+i)(9-8i) is 17+i