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Popular >

simplify (5+2i)(3-4i)

Solution

simplify

(5 + 2 i) (3 - 4 i)

Solution

23 - 14 i

Solution steps

(5 + 2 i) (3 - 4 i)

Apply complex arithmetic rule:

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

= (5 \cdot 3 - 2 (- 4)) + (5 (- 4) + 2 \cdot 3) i

Simplify

(5 \cdot 3 - 2 (- 4)) + (5 (- 4) + 2 \cdot 3) i : 23 - 14 i

= 23 - 14 i

Popular Examples

- 3 + 3 x = - 2 (x + 1)

9x-17+3x+19+2x+10=180

9 x - 17 + 3 x + 19 + 2 x + 10 = 180

0 = x^{2} + 6 x + 4

simplify-7/3-7/3 simplify

- \frac{7}{3} - \frac{7}{3}

simplify (1/i+3/(i+1))^2 simplify

(\frac{1}{i} + \frac{3}{i + 1})^{2}

Frequently Asked Questions (FAQ)

What is (5+2i)(3-4i) ?
The solution to (5+2i)(3-4i) is 23-14i