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Popular >

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

Solution

factor

(9 - 2 i) (5 + i)

Solution

47 - i

Solution steps

(9 - 2 i) (5 + i)

Apply complex arithmetic rule:

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

a = 9, b = - 2, c = 5, d = 1

= (9 \cdot 5 - (- 2) \cdot 1) + (9 \cdot 1 + (- 2) \cdot 5) i

9 \cdot 5 - (- 2) \cdot 1 = 47

9 \cdot 1 + (- 2) \cdot 5 = - 1

= 47 - i

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Frequently Asked Questions (FAQ)

What is factor (9-2i)(5+i) ?
The solution to factor (9-2i)(5+i) is 47-i