What is expand (-5x+3iz)e^{10iy+10y} ?

The solution to expand (-5x+3iz)e^{10iy+10y} is -5e^{10iy+10y}x+3ie^{10iy+10y}z

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expand (-5x+3iz)e^{10iy+10y}

expand

(- 5 x + 3 i z) e^{10 i y + 10 y}

- 5 e^{10 i y + 10 y} x + 3 i e^{10 i y + 10 y} z

Solution steps

(- 5 x + 3 i z) e^{10 i y + 10 y}

= e^{10 i y + 10 y} (- 5 x + 3 i z)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{10 i y + 10 y}, b = - 5 x, c = 3 i z

= e^{10 i y + 10 y} (- 5 x) + e^{10 i y + 10 y} \cdot 3 i z

Apply minus-plus rules

+ (- a) = - a

= - 5 e^{10 i y + 10 y} x + 3 i e^{10 i y + 10 y} z

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What is expand (-5x+3iz)e^{10iy+10y} ?
The solution to expand (-5x+3iz)e^{10iy+10y} is -5e^{10iy+10y}x+3ie^{10iy+10y}z