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Popular >

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

Solution

simplify

(1 + 2 i) (4 - i)

Solution

6 + 7 i

Solution steps

(1 + 2 i) (4 - i)

Apply complex arithmetic rule:

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

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

Simplify

(1 \cdot 4 - 2 (- 1)) + (1 \cdot (- 1) + 2 \cdot 4) i : 6 + 7 i

= 6 + 7 i

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2 x^{2} - 19 x + 9

Frequently Asked Questions (FAQ)

What is (1+2i)(4-i) ?
The solution to (1+2i)(4-i) is 6+7i