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Popular >

simplify (3-2i)(7+6i)

Solution

simplify

(3 - 2 i) (7 + 6 i)

Solution

33 + 4 i

Solution steps

(3 - 2 i) (7 + 6 i)

Apply complex arithmetic rule:

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

= (3 \cdot 7 - (- 2) \cdot 6) + (3 \cdot 6 - 2 \cdot 7) i

Simplify

(3 \cdot 7 - (- 2) \cdot 6) + (3 \cdot 6 - 2 \cdot 7) i : 33 + 4 i

= 33 + 4 i

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Frequently Asked Questions (FAQ)

What is (3-2i)(7+6i) ?
The solution to (3-2i)(7+6i) is 33+4i