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Popular >

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

Solution

simplify

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

Solution

26 + 7 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

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

= 26 + 7 i

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Frequently Asked Questions (FAQ)

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