What is expand (4,55+6.79i)((10)/(10+5i)) ?

The solution to expand (4,55+6.79i)((10)/(10+5i)) is 4((10)/(10+5i)),55+6.79i((10)/(10+5i))

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expand (4,55+6.79i)((10)/(10+5i))

expand

(4, 55 + 6.79 i) (\frac{10}{10 + 5 i})

4 (\frac{10}{10 + 5 i}), 55 + 6.79 i (\frac{10}{10 + 5 i})

Solution steps

(4, 55 + 6.79 i) (\frac{10}{10 + 5 i})

= (\frac{10}{10 + 5 i}) (4 \cdot 55, + 6.79 i)

Apply the distributive law:

a (b + c) = ab + a c

a = (\frac{10}{10 + 5 i}), b = 4, 55, c = 6.79 i

= (\frac{10}{10 + 5 i}) \cdot 4, 55 + (\frac{10}{10 + 5 i}) \cdot 6.79 i

= 4 (\frac{10}{10 + 5 i}), 55 + 6.79 i (\frac{10}{10 + 5 i})

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What is expand (4,55+6.79i)((10)/(10+5i)) ?
The solution to expand (4,55+6.79i)((10)/(10+5i)) is 4((10)/(10+5i)),55+6.79i((10)/(10+5i))