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Popular >

simplify (7-3i)(-4+9i)

Solution

simplify

(7 - 3 i) (- 4 + 9 i)

Solution

- 1 + 75 i

Solution steps

(7 - 3 i) (- 4 + 9 i)

Apply complex arithmetic rule:

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

= (7 (- 4) - (- 3) \cdot 9) + (7 \cdot 9 - 3 (- 4)) i

Simplify

(7 (- 4) - (- 3) \cdot 9) + (7 \cdot 9 - 3 (- 4)) i : - 1 + 75 i

= - 1 + 75 i

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Frequently Asked Questions (FAQ)

What is (7-3i)(-4+9i) ?
The solution to (7-3i)(-4+9i) is -1+75i