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Popular >

simplify (4x+9i)(x-1i)

Solution

simplify

(4 x + 9 i) (x - 1 i)

Solution

(4 x^{2} + 9) + 5 x i

Solution steps

(4 x + 9 i) (x - 1 i)

Apply complex arithmetic rule:

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

= (4 xx - 9 (- 1)) + (4 x (- 1) + 9 x) i

Simplify

(4 xx - 9 (- 1)) + (4 x (- 1) + 9 x) i : (4 x^{2} + 9) + 5 x i

= (4 x^{2} + 9) + 5 x i

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Frequently Asked Questions (FAQ)

What is (4x+9i)(x-1i) ?
The solution to (4x+9i)(x-1i) is (4x^2+9)+5xi