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Popular >

simplify (6+3i)(3+i)

Solution

simplify

(6 + 3 i) (3 + i)

Solution

15 + 15 i

Solution steps

(6 + 3 i) (3 + i)

Apply complex arithmetic rule:

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

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

Simplify

(6 \cdot 3 - 3 \cdot 1) + (6 \cdot 1 + 3 \cdot 3) i : 15 + 15 i

= 15 + 15 i

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Frequently Asked Questions (FAQ)

What is (6+3i)(3+i) ?
The solution to (6+3i)(3+i) is 15+15i