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Popular >

simplify (7+i)(3-i)

Solution

simplify

(7 + i) (3 - i)

Solution

22 - 4 i

Solution steps

(7 + i) (3 - i)

Apply complex arithmetic rule:

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

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

Simplify

(7 \cdot 3 - 1 \cdot (- 1)) + (7 (- 1) + 1 \cdot 3) i : 22 - 4 i

= 22 - 4 i

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Frequently Asked Questions (FAQ)

What is (7+i)(3-i) ?
The solution to (7+i)(3-i) is 22-4i