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Popular >

simplify (-1+i)(2+3i)

Solution

simplify

(- 1 + i) (2 + 3 i)

Solution

- 5 - i

Solution steps

(- 1 + i) (2 + 3 i)

Apply complex arithmetic rule:

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

= (- 1 \cdot 2 - 1 \cdot 3) + (- 1 \cdot 3 + 1 \cdot 2) i

Simplify

(- 1 \cdot 2 - 1 \cdot 3) + (- 1 \cdot 3 + 1 \cdot 2) i : - 5 - i

= - 5 - i

Popular Examples

simplify (\frac{x^2+9x+18)/(x^2+6x+8)}{(x^2-3x-18)/(x^2+2x-8)}simplify

\frac{\frac{x ^{2} + 9 x + 18}{x ^{2} + 6 x + 8}}{\frac{x ^{2} - 3 x - 18}{x ^{2} + 2 x - 8}}

simplify (3a^3-75a)/(a(a+5)(a+5))simplify

\frac{3 a ^{3} - 75 a}{a ( a + 5 ) ( a + 5 )}

\frac{343}{3}

factor 36n^2-1 factor

36 n^{2} - 1

simplify (x^2-4)/(x^2-6x+8)simplify

\frac{x ^{2} - 4}{x ^{2} - 6 x + 8}

Frequently Asked Questions (FAQ)

What is (-1+i)(2+3i) ?
The solution to (-1+i)(2+3i) is -5-i