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Popular >

simplify (2(5)-i)(5/5-2i)

Solution

simplify

(2 (5) - i) (\frac{5}{5} - 2 i)

Solution

8 - 21 i

Solution steps

(2 (5) - i) (\frac{5}{5} - 2 i)

Apply complex arithmetic rule:

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

= (2 \cdot 5 \cdot \frac{5}{5} - (- 1) (- 2)) + (2 \cdot 5 (- 2) - 1 \cdot \frac{5}{5}) i

Simplify

(2 \cdot 5 \cdot \frac{5}{5} - (- 1) (- 2)) + (2 \cdot 5 (- 2) - 1 \cdot \frac{5}{5}) i : 8 - 21 i

= 8 - 21 i

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Frequently Asked Questions (FAQ)

What is (2(5)-i)(5/5-2i) ?
The solution to (2(5)-i)(5/5-2i) is 8-21i