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Popular >

simplify (2+4i)(7-3i)

Solution

simplify

(2 + 4 i) (7 - 3 i)

Solution

26 + 22 i

Solution steps

(2 + 4 i) (7 - 3 i)

Apply complex arithmetic rule:

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

= (2 \cdot 7 - 4 (- 3)) + (2 (- 3) + 4 \cdot 7) i

Simplify

(2 \cdot 7 - 4 (- 3)) + (2 (- 3) + 4 \cdot 7) i : 26 + 22 i

= 26 + 22 i

Popular Examples

simplify (5/6)^{-2}simplify

(\frac{5}{6})^{- 2}

simplify (1+i)^2 simplify

(1 + i)^{2}

factor 7x^2-8x-12 factor

7 x^{2} - 8 x - 12

\frac{8 x}{7} + 9 = 30

2y+7-4(3-2y)=-8

2 y + 7 - 4 (3 - 2 y) = - 8

Frequently Asked Questions (FAQ)

What is (2+4i)(7-3i) ?
The solution to (2+4i)(7-3i) is 26+22i