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Popular >

simplify (2-3i)(1+7i)

Solution

simplify

(2 - 3 i) (1 + 7 i)

Solution

23 + 11 i

Solution steps

(2 - 3 i) (1 + 7 i)

Apply complex arithmetic rule:

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

= (2 \cdot 1 - (- 3) \cdot 7) + (2 \cdot 7 - 3 \cdot 1) i

Simplify

(2 \cdot 1 - (- 3) \cdot 7) + (2 \cdot 7 - 3 \cdot 1) i : 23 + 11 i

= 23 + 11 i

Popular Examples

simplify (sqrt(2)+isqrt(3))(sqrt(2)-isqrt(3))simplify

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

4 v^{2} - 15 v + 16 = 6

-3x+6<15\lor 4x-1>= 3

- 3 x + 6 < 15 or 4 x - 1 \geq 3

\frac{3}{4} x = \frac{1}{2}

- 1 + 4 x \leq 31

Frequently Asked Questions (FAQ)

What is (2-3i)(1+7i) ?
The solution to (2-3i)(1+7i) is 23+11i