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Popular >

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

Solution

simplify

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

Solution

23 + 14 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

(5 \cdot 3 - (- 2) \cdot 4) + (5 \cdot 4 - 2 \cdot 3) i : 23 + 14 i

= 23 + 14 i

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Frequently Asked Questions (FAQ)

What is (5-2i)(3+4i) ?
The solution to (5-2i)(3+4i) is 23+14i