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Popular >

simplify (5+i)(7-3i)

Solution

simplify

(5 + i) (7 - 3 i)

Solution

38 - 8 i

Solution steps

(5 + i) (7 - 3 i)

Apply complex arithmetic rule:

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

= (5 \cdot 7 - 1 \cdot (- 3)) + (5 (- 3) + 1 \cdot 7) i

Simplify

(5 \cdot 7 - 1 \cdot (- 3)) + (5 (- 3) + 1 \cdot 7) i : 38 - 8 i

= 38 - 8 i

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Frequently Asked Questions (FAQ)

What is (5+i)(7-3i) ?
The solution to (5+i)(7-3i) is 38-8i