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Popular >

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

Solution

simplify

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

Solution

25 + 19 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

(2 \cdot 5 - 5 (- 3)) + (2 (- 3) + 5 \cdot 5) i : 25 + 19 i

= 25 + 19 i

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Frequently Asked Questions (FAQ)

What is (2+5i)*(5-3i) ?
The solution to (2+5i)*(5-3i) is 25+19i