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Popular >

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

Solution

simplify

(2 + i) (- 4 + i)

Solution

- 9 - 2 i

Solution steps

(2 + i) (- 4 + i)

Apply complex arithmetic rule:

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

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

Simplify

(2 (- 4) - 1 \cdot 1) + (2 \cdot 1 + 1 \cdot (- 4)) i : - 9 - 2 i

= - 9 - 2 i

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Frequently Asked Questions (FAQ)

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