What is factor y^3+3xy^2(dy)/(dx) ?

The solution to factor y^3+3xy^2(dy)/(dx) is y^2(y+3x(dy)/(dx))

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factor y^3+3xy^2(dy)/(dx)

factor

y^{3} + 3 x y^{2} \frac{d y}{d x}

y^{2} (y + 3 x \frac{d y}{d x})

Solution steps

y^{3} + 3 x y^{2} \frac{d y}{d x}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

y^{3} = y^{2} y

= y^{2} y + 3 x y^{2} \frac{d y}{d x}

Factor out common term

y^{2}

= y^{2} (y + 3 x \frac{d y}{d x})

6 cos (π x + 4 π t) + 6 cos (π x - 4 π t)

8 a c - 3 b d + b c - 24 a d

H + He

e^{f (8.9)} - sin (f (g (8.9)))

1 + cos^{3} (x)

What is factor y^3+3xy^2(dy)/(dx) ?
The solution to factor y^3+3xy^2(dy)/(dx) is y^2(y+3x(dy)/(dx))