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Popular >

simplify (3-4i)(-3+2i)

Solution

simplify

(3 - 4 i) (- 3 + 2 i)

Solution

- 1 + 18 i

Solution steps

(3 - 4 i) (- 3 + 2 i)

Apply complex arithmetic rule:

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

= (3 (- 3) - (- 4) \cdot 2) + (3 \cdot 2 - 4 (- 3)) i

Simplify

(3 (- 3) - (- 4) \cdot 2) + (3 \cdot 2 - 4 (- 3)) i : - 1 + 18 i

= - 1 + 18 i

Popular Examples

factor 2(x+1)^2-6(x+1)+4 factor

2 (x + 1)^{2} - 6 (x + 1) + 4

5x^{14/5}-48x^{9/5}+64x^{4/5}

5 x^{\frac{14}{5}} - 48 x^{\frac{9}{5}} + 64 x^{\frac{4}{5}}

simplify (2^{-0.1}-1)/(-0.1)simplify

\frac{2 ^{- 0.1} - 1}{- 0.1}

- 15 x + 4 = 6

simplify 1/2+2/3+3/4+4/5+5/6+6/7 simplify

\frac{1}{2} + \frac{2}{3} + \frac{3}{4} + \frac{4}{5} + \frac{5}{6} + \frac{6}{7}

Frequently Asked Questions (FAQ)

What is (3-4i)(-3+2i) ?
The solution to (3-4i)(-3+2i) is -1+18i