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

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

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

factor

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

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

Solution steps

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

Apply exponent rule:

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

x^{3} = x^{2} x

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

Factor out common term

x^{2}

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

8 p x - 6 p y - 12 x + 9 y

2 (ln (2))

4^{x} + 4^{x + 1}

7 y^{- 1} + 3 y^{- 2}

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