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Popular >

simplify (4+2i)(2+4i)

Solution

simplify

(4 + 2 i) (2 + 4 i)

Solution

20 i

Solution steps

(4 + 2 i) (2 + 4 i)

Apply complex arithmetic rule:

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

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

Simplify

(4 \cdot 2 - 2 \cdot 4) + (4 \cdot 4 + 2 \cdot 2) i : 20 i

= 20 i

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\frac{5 ( 5 ) ^{3}}{3}

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11 - (- 5)

Frequently Asked Questions (FAQ)

What is (4+2i)(2+4i) ?
The solution to (4+2i)(2+4i) is 20i