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Popular >

simplify (4-3i)(-5+4i)

Solution

simplify

(4 - 3 i) (- 5 + 4 i)

Solution

- 8 + 31 i

Solution steps

(4 - 3 i) (- 5 + 4 i)

Apply complex arithmetic rule:

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

= (4 (- 5) - (- 3) \cdot 4) + (4 \cdot 4 - 3 (- 5)) i

Simplify

(4 (- 5) - (- 3) \cdot 4) + (4 \cdot 4 - 3 (- 5)) i : - 8 + 31 i

= - 8 + 31 i

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Frequently Asked Questions (FAQ)

What is (4-3i)(-5+4i) ?
The solution to (4-3i)(-5+4i) is -8+31i