What is expand (e^{15x}-3x^2y)dy ?

The solution to expand (e^{15x}-3x^2y)dy is e^{15x}dy-3x^2ydy

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expand (e^{15x}-3x^2y)dy

expand

(e^{15 x} - 3 x^{2} y) d y

e^{15 x} d y - 3 x^{2} y d y

Solution steps

(e^{15 x} - 3 x^{2} y) d y

Apply the distributive law:

a (b - c) = ab - a c

a = d y, b = e^{15 x}, c = 3 x^{2} y

= d y e^{15 x} - d y \cdot 3 x^{2} y

= e^{15 x} d y - 3 x^{2} y d y

\frac{2}{( s - t ) ( s + 1 )}

\frac{4 s + 5}{( s - 2 ) ^{2} ( s + 3 )}

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

(- a + a^{2} - 4)^{2}

2 (sin (x) cos (x) - cos^{2} (x)) + cos (2 x) + sin (2 x)

What is expand (e^{15x}-3x^2y)dy ?
The solution to expand (e^{15x}-3x^2y)dy is e^{15x}dy-3x^2ydy