What is (4/13-7/13 i)(8+i) ?

The solution to (4/13-7/13 i)(8+i) is 3-4i

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simplify (4/13-7/13 i)(8+i)

simplify

(\frac{4}{13} - \frac{7}{13} i) (8 + i)

3 - 4 i

Solution steps

(\frac{4}{13} - \frac{7}{13} i) (8 + i)

Apply complex arithmetic rule:

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

= (\frac{4}{13} \cdot 8 - (- \frac{7}{13}) \cdot 1) + (\frac{4}{13} \cdot 1 - \frac{7}{13} \cdot 8) i

Simplify

(\frac{4}{13} \cdot 8 - (- \frac{7}{13}) \cdot 1) + (\frac{4}{13} \cdot 1 - \frac{7}{13} \cdot 8) i : 3 - 4 i

= 3 - 4 i

16 x^{5} y^{3} + 20 x^{4} y^{2} - 8 x^{3} y^{5}

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

12 - 5 b = 14

3 (x - 5) + 13 = 2 (x + 3)

9 + 25