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Popular >

simplify (5-6i)(7-2i)

Solution

simplify

(5 - 6 i) (7 - 2 i)

Solution

23 - 52 i

Solution steps

(5 - 6 i) (7 - 2 i)

Apply complex arithmetic rule:

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

= (5 \cdot 7 - (- 6) (- 2)) + (5 (- 2) - 6 \cdot 7) i

Simplify

(5 \cdot 7 - (- 6) (- 2)) + (5 (- 2) - 6 \cdot 7) i : 23 - 52 i

= 23 - 52 i

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Frequently Asked Questions (FAQ)

What is (5-6i)(7-2i) ?
The solution to (5-6i)(7-2i) is 23-52i