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Popular >

simplify (4+2i)(7-4i)

Solution

simplify

(4 + 2 i) (7 - 4 i)

Solution

36 - 2 i

Solution steps

(4 + 2 i) (7 - 4 i)

Apply complex arithmetic rule:

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

= (4 \cdot 7 - 2 (- 4)) + (4 (- 4) + 2 \cdot 7) i

Simplify

(4 \cdot 7 - 2 (- 4)) + (4 (- 4) + 2 \cdot 7) i : 36 - 2 i

= 36 - 2 i

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Frequently Asked Questions (FAQ)

What is (4+2i)(7-4i) ?
The solution to (4+2i)(7-4i) is 36-2i