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Popular >

simplify (3-4i)*(5-12i)

Solution

simplify

(3 - 4 i) \cdot (5 - 12 i)

Solution

- 33 - 56 i

Solution steps

(3 - 4 i) (5 - 12 i)

Apply complex arithmetic rule:

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

= (3 \cdot 5 - (- 4) (- 12)) + (3 (- 12) - 4 \cdot 5) i

Simplify

(3 \cdot 5 - (- 4) (- 12)) + (3 (- 12) - 4 \cdot 5) i : - 33 - 56 i

= - 33 - 56 i

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Frequently Asked Questions (FAQ)

What is (3-4i)*(5-12i) ?
The solution to (3-4i)*(5-12i) is -33-56i