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Popular >

simplify (-2+5i)(-1+4i)

Solution

simplify

(- 2 + 5 i) (- 1 + 4 i)

Solution

- 18 - 13 i

Solution steps

(- 2 + 5 i) (- 1 + 4 i)

Apply complex arithmetic rule:

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

= (- 2 (- 1) - 5 \cdot 4) + (- 2 \cdot 4 + 5 (- 1)) i

Simplify

(- 2 (- 1) - 5 \cdot 4) + (- 2 \cdot 4 + 5 (- 1)) i : - 18 - 13 i

= - 18 - 13 i

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Frequently Asked Questions (FAQ)

What is (-2+5i)(-1+4i) ?
The solution to (-2+5i)(-1+4i) is -18-13i