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Popular >

simplify (9-2i)(-4+7i)

Solution

simplify

(9 - 2 i) (- 4 + 7 i)

Solution

- 22 + 71 i

Solution steps

(9 - 2 i) (- 4 + 7 i)

Apply complex arithmetic rule:

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

= (9 (- 4) - (- 2) \cdot 7) + (9 \cdot 7 - 2 (- 4)) i

Simplify

(9 (- 4) - (- 2) \cdot 7) + (9 \cdot 7 - 2 (- 4)) i : - 22 + 71 i

= - 22 + 71 i

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Frequently Asked Questions (FAQ)

What is (9-2i)(-4+7i) ?
The solution to (9-2i)(-4+7i) is -22+71i