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Popular >

simplify (3+i)(5-i)

Solution

simplify

(3 + i) (5 - i)

Solution

16 + 2 i

Solution steps

(3 + i) (5 - i)

Apply complex arithmetic rule:

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

= (3 \cdot 5 - 1 \cdot (- 1)) + (3 (- 1) + 1 \cdot 5) i

Simplify

(3 \cdot 5 - 1 \cdot (- 1)) + (3 (- 1) + 1 \cdot 5) i : 16 + 2 i

= 16 + 2 i

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Frequently Asked Questions (FAQ)

What is (3+i)(5-i) ?
The solution to (3+i)(5-i) is 16+2i