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Popular >

simplify (4-3i)(5+2i)

Solution

simplify

(4 - 3 i) (5 + 2 i)

Solution

26 - 7 i

Solution steps

(4 - 3 i) (5 + 2 i)

Apply complex arithmetic rule:

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

= (4 \cdot 5 - (- 3) \cdot 2) + (4 \cdot 2 - 3 \cdot 5) i

Simplify

(4 \cdot 5 - (- 3) \cdot 2) + (4 \cdot 2 - 3 \cdot 5) i : 26 - 7 i

= 26 - 7 i

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Frequently Asked Questions (FAQ)

What is (4-3i)(5+2i) ?
The solution to (4-3i)(5+2i) is 26-7i