What is expand (2xy^2+x/(y^2))dx ?

The solution to expand (2xy^2+x/(y^2))dx is 2xy^2dx+(xdx)/(y^2)

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expand (2xy^2+x/(y^2))dx

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = d x, b = 2 x y^{2}, c = \frac{x}{y ^{2}}

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

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

Multiply

\frac{x}{y ^{2}} d x : \frac{x d x}{y ^{2}}

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

a^{a^{a} (a + 1)}

\frac{( 2 - 1 ) 486 π}{5}

\frac{2 ( x ^{4} + 18 )}{x ^{4}}

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

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

What is expand (2xy^2+x/(y^2))dx ?
The solution to expand (2xy^2+x/(y^2))dx is 2xy^2dx+(xdx)/(y^2)