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Popular >

simplify (1-5i)(5+6i)

Solution

simplify

(1 - 5 i) (5 + 6 i)

Solution

35 - 19 i

Solution steps

(1 - 5 i) (5 + 6 i)

Apply complex arithmetic rule:

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

= (1 \cdot 5 - (- 5) \cdot 6) + (1 \cdot 6 - 5 \cdot 5) i

Simplify

(1 \cdot 5 - (- 5) \cdot 6) + (1 \cdot 6 - 5 \cdot 5) i : 35 - 19 i

= 35 - 19 i

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Frequently Asked Questions (FAQ)

What is (1-5i)(5+6i) ?
The solution to (1-5i)(5+6i) is 35-19i