What is expand 3x(2e^{x-5y}y-5e^{x-5y}y^2) ?

The solution to expand 3x(2e^{x-5y}y-5e^{x-5y}y^2) is 6e^{x-5y}xy-15e^{x-5y}xy^2

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expand 3x(2e^{x-5y}y-5e^{x-5y}y^2)

expand

3 x (2 e^{x - 5 y} y - 5 e^{x - 5 y} y^{2})

6 e^{x - 5 y} x y - 15 e^{x - 5 y} x y^{2}

Solution steps

3 x (2 e^{x - 5 y} y - 5 e^{x - 5 y} y^{2})

Apply the distributive law:

a (b - c) = ab - a c

a = 3 x, b = 2 e^{x - 5 y} y, c = 5 e^{x - 5 y} y^{2}

= 3 x \cdot 2 e^{x - 5 y} y - 3 x \cdot 5 e^{x - 5 y} y^{2}

= 3 \cdot 2 e^{x - 5 y} x y - 3 \cdot 5 e^{x - 5 y} x y^{2}

Simplify

3 \cdot 2 e^{x - 5 y} x y - 3 \cdot 5 e^{x - 5 y} x y^{2} : 6 e^{x - 5 y} x y - 15 e^{x - 5 y} x y^{2}

= 6 e^{x - 5 y} x y - 15 e^{x - 5 y} x y^{2}

(2 x - y + 3 z = 10) \cdot (- 3)

1 - (\frac{4}{( x + 1 ) ^{2}})

\frac{1}{( a - b ) ( a + b )}

(y^{4}) x^{3} (3 e^{x} + C)

- 2 (j - 6 = - 18)

What is expand 3x(2e^{x-5y}y-5e^{x-5y}y^2) ?
The solution to expand 3x(2e^{x-5y}y-5e^{x-5y}y^2) is 6e^{x-5y}xy-15e^{x-5y}xy^2