What is expand ((3x^2-2)dy)/(dx)+6xy ?

The solution to expand ((3x^2-2)dy)/(dx)+6xy is (3x^2dy)/(dx)-(2dy)/(dx)+6xy

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expand ((3x^2-2)dy)/(dx)+6xy

expand

\frac{( 3 x ^{2} - 2 ) d y}{d x} + 6 x y

\frac{3 x ^{2} d y}{d x} - \frac{2 d y}{d x} + 6 x y

Solution steps

\frac{( 3 x ^{2} - 2 ) d y}{d x} + 6 x y

Expand

(3 x^{2} - 2) d y : 3 x^{2} d y - 2 d y

= \frac{3 x ^{2} d y - 2 d y}{d x} + 6 x y

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

= \frac{3 x ^{2} d y}{d x} - \frac{2 d y}{d x} + 6 x y

((y + 2 x) d y + d x) e^{2 y}

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

(x - 4) (x - 2 + 7)

\frac{e ^{- 0.5 x} ( x + 1 )}{x ( x + 2 ) ( x + 3 )}

\frac{3 ( 3 3 - π )}{27 - π ^{2}}

What is expand ((3x^2-2)dy)/(dx)+6xy ?
The solution to expand ((3x^2-2)dy)/(dx)+6xy is (3x^2dy)/(dx)-(2dy)/(dx)+6xy