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Popular >

simplify (5+i)(8-i)

Solution

simplify

(5 + i) (8 - i)

Solution

41 + 3 i

Solution steps

(5 + i) (8 - i)

Apply complex arithmetic rule:

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

= (5 \cdot 8 - 1 \cdot (- 1)) + (5 (- 1) + 1 \cdot 8) i

Simplify

(5 \cdot 8 - 1 \cdot (- 1)) + (5 (- 1) + 1 \cdot 8) i : 41 + 3 i

= 41 + 3 i

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Frequently Asked Questions (FAQ)

What is (5+i)(8-i) ?
The solution to (5+i)(8-i) is 41+3i