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Popular >

simplify (7+i)(4-i)

Solution

simplify

(7 + i) (4 - i)

Solution

29 - 3 i

Solution steps

(7 + i) (4 - i)

Apply complex arithmetic rule:

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

= (7 \cdot 4 - 1 \cdot (- 1)) + (7 (- 1) + 1 \cdot 4) i

Simplify

(7 \cdot 4 - 1 \cdot (- 1)) + (7 (- 1) + 1 \cdot 4) i : 29 - 3 i

= 29 - 3 i

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Frequently Asked Questions (FAQ)

What is (7+i)(4-i) ?
The solution to (7+i)(4-i) is 29-3i