What is factor x^2+4xy+x((dy)/(dx)) ?

The solution to factor x^2+4xy+x((dy)/(dx)) is x(x+4y+(dy)/(dx))

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factor x^2+4xy+x((dy)/(dx))

factor

x^{2} + 4 x y + x (\frac{d y}{d x})

x (x + 4 y + \frac{d y}{d x})

Solution steps

x^{2} + 4 x y + x (\frac{d y}{d x})

Apply exponent rule:

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

x^{2} = xx

= xx + 4 x y + x \frac{d y}{d x}

Factor out common term

x

= x (x + 4 y + \frac{d y}{d x})

1 - 0.25 cos^{2} (10 t)

\frac{4 + 72}{4}

(3 x + 2)^{2} + 7 (3 x + 2) + 10

8 d^{3} + 27 c^{3} e^{6}

(25)^{513}

What is factor x^2+4xy+x((dy)/(dx)) ?
The solution to factor x^2+4xy+x((dy)/(dx)) is x(x+4y+(dy)/(dx))