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Popular >

simplify (4+5i)(12-10i)

Solution

simplify

(4 + 5 i) (12 - 10 i)

Solution

98 + 20 i

Solution steps

(4 + 5 i) (12 - 10 i)

Apply complex arithmetic rule:

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

= (4 \cdot 12 - 5 (- 10)) + (4 (- 10) + 5 \cdot 12) i

Simplify

(4 \cdot 12 - 5 (- 10)) + (4 (- 10) + 5 \cdot 12) i : 98 + 20 i

= 98 + 20 i

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Frequently Asked Questions (FAQ)

What is (4+5i)(12-10i) ?
The solution to (4+5i)(12-10i) is 98+20i