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Popular >

simplify (5-i)(3+6i)

Solution

simplify

(5 - i) (3 + 6 i)

Solution

21 + 27 i

Solution steps

(5 - i) (3 + 6 i)

Apply complex arithmetic rule:

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

= (5 \cdot 3 - (- 1) \cdot 6) + (5 \cdot 6 - 1 \cdot 3) i

Simplify

(5 \cdot 3 - (- 1) \cdot 6) + (5 \cdot 6 - 1 \cdot 3) i : 21 + 27 i

= 21 + 27 i

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Frequently Asked Questions (FAQ)

What is (5-i)(3+6i) ?
The solution to (5-i)(3+6i) is 21+27i