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Popular >

simplify (1+4i)(3+6i)

Solution

simplify

(1 + 4 i) (3 + 6 i)

Solution

- 21 + 18 i

Solution steps

(1 + 4 i) (3 + 6 i)

Apply complex arithmetic rule:

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

= (1 \cdot 3 - 4 \cdot 6) + (1 \cdot 6 + 4 \cdot 3) i

Simplify

(1 \cdot 3 - 4 \cdot 6) + (1 \cdot 6 + 4 \cdot 3) i : - 21 + 18 i

= - 21 + 18 i

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Frequently Asked Questions (FAQ)

What is (1+4i)(3+6i) ?
The solution to (1+4i)(3+6i) is -21+18i