What is y*6sin(3x-2y)(x+3y)^2+x*(-9)sin(3x-2y) ?

The solution to y*6sin(3x-2y)(x+3y)^2+x*(-9)sin(3x-2y) is y*6sin(3x-2y)(x+3y)^2-9xsin(3x-2y)

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simplify y6sin(3x-2y)(x+3y)^2+x(-9)sin(3x-2y)

simplify

y \cdot 6 sin (3 x - 2 y) (x + 3 y)^{2} + x \cdot (- 9) sin (3 x - 2 y)

y \cdot 6 sin (3 x - 2 y) (x + 3 y)^{2} - 9 x sin (3 x - 2 y)

Solution steps

y \cdot 6 sin (3 x - 2 y) (x + 3 y)^{2} + x (- 9) sin (3 x - 2 y)

Apply rule:

a (- b) = - ab

x (- 9) = - x \cdot 9

= y \cdot 6 sin (3 x - 2 y) (x + 3 y)^{2} - x \cdot 9 sin (3 x - 2 y)

= y \cdot 6 sin (3 x - 2 y) (x + 3 y)^{2} - 9 x sin (3 x - 2 y)

C_{4} (- 27 e^{- 3 x} x + 27 e^{- 3 x})

x (d^{2} x - 2 d^{2} y - 2 d y)

- \frac{2 x}{( x ^{2} + 1 ) ^{2}} + 5 x^{4} cos (x) - x^{5} sin (x)

1 + 1

\frac{x + 5}{( x + 4 ) ( x ^{2} - 1 )}

What is y*6sin(3x-2y)(x+3y)^2+x*(-9)sin(3x-2y) ?
The solution to y*6sin(3x-2y)(x+3y)^2+x*(-9)sin(3x-2y) is y*6sin(3x-2y)(x+3y)^2-9xsin(3x-2y)