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Popular >

simplify (4-i)(2-3i)

Solution

simplify

(4 - i) (2 - 3 i)

Solution

5 - 14 i

Solution steps

(4 - i) (2 - 3 i)

Apply complex arithmetic rule:

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

= (4 \cdot 2 - (- 1) (- 3)) + (4 (- 3) - 1 \cdot 2) i

Simplify

(4 \cdot 2 - (- 1) (- 3)) + (4 (- 3) - 1 \cdot 2) i : 5 - 14 i

= 5 - 14 i

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Frequently Asked Questions (FAQ)

What is (4-i)(2-3i) ?
The solution to (4-i)(2-3i) is 5-14i