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Popular >

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

Solution

simplify

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

Solution

7 + 26 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

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

= 7 + 26 i

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Frequently Asked Questions (FAQ)

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