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Popular >

simplify (-1+4i)(9-4i)

Solution

simplify

(- 1 + 4 i) (9 - 4 i)

Solution

7 + 40 i

Solution steps

(- 1 + 4 i) (9 - 4 i)

Apply complex arithmetic rule:

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

= (- 1 \cdot 9 - 4 (- 4)) + (- 1 \cdot (- 4) + 4 \cdot 9) i

Simplify

(- 1 \cdot 9 - 4 (- 4)) + (- 1 \cdot (- 4) + 4 \cdot 9) i : 7 + 40 i

= 7 + 40 i

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Frequently Asked Questions (FAQ)

What is (-1+4i)(9-4i) ?
The solution to (-1+4i)(9-4i) is 7+40i