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Popular >

simplify (5-2i)(9+10i)

Solution

simplify

(5 - 2 i) (9 + 10 i)

Solution

65 + 32 i

Solution steps

(5 - 2 i) (9 + 10 i)

Apply complex arithmetic rule:

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

= (5 \cdot 9 - (- 2) \cdot 10) + (5 \cdot 10 - 2 \cdot 9) i

Simplify

(5 \cdot 9 - (- 2) \cdot 10) + (5 \cdot 10 - 2 \cdot 9) i : 65 + 32 i

= 65 + 32 i

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Frequently Asked Questions (FAQ)

What is (5-2i)(9+10i) ?
The solution to (5-2i)(9+10i) is 65+32i