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Popular >

simplify (5+2i)(8-7i)

Solution

simplify

(5 + 2 i) (8 - 7 i)

Solution

54 - 19 i

Solution steps

(5 + 2 i) (8 - 7 i)

Apply complex arithmetic rule:

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

= (5 \cdot 8 - 2 (- 7)) + (5 (- 7) + 2 \cdot 8) i

Simplify

(5 \cdot 8 - 2 (- 7)) + (5 (- 7) + 2 \cdot 8) i : 54 - 19 i

= 54 - 19 i

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Frequently Asked Questions (FAQ)

What is (5+2i)(8-7i) ?
The solution to (5+2i)(8-7i) is 54-19i