What is expand (1/(x^{5/4)}+1/(4-x^{3/4)})*(-y)dy ?

The solution to expand (1/(x^{5/4)}+1/(4-x^{3/4)})*(-y)dy is -(ydy)/(x^{5/4)}-(ydy)/(4-x^{3/4)}

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expand (1/(x^{5/4)}+1/(4-x^{3/4)})*(-y)dy

expand

(\frac{1}{x ^{\frac{5}{4}}} + \frac{1}{4 - x ^{\frac{3}{4}}}) \cdot (- y) d y

- \frac{y d y}{x ^{\frac{5}{4}}} - \frac{y d y}{4 - x ^{\frac{3}{4}}}

Solution steps

(\frac{1}{x ^{\frac{5}{4}}} + \frac{1}{4 - x ^{\frac{3}{4}}}) (- y) d y

Apply the distributive law:

a (b + c) = ab + a c

a = (- y) d y, b = \frac{1}{x ^{\frac{5}{4}}}, c = \frac{1}{4 - x ^{\frac{3}{4}}}

= (- y) d y \frac{1}{x ^{\frac{5}{4}}} + (- y) d y \frac{1}{4 - x ^{\frac{3}{4}}}

= \frac{1}{x ^{\frac{5}{4}}} (- y) d y + \frac{1}{4 - x ^{\frac{3}{4}}} (- y) d y

Simplify

\frac{1}{x ^{\frac{5}{4}}} (- y) d y + \frac{1}{4 - x ^{\frac{3}{4}}} (- y) d y : - \frac{y d y}{x ^{\frac{5}{4}}} - \frac{y d y}{4 - x ^{\frac{3}{4}}}

= - \frac{y d y}{x ^{\frac{5}{4}}} - \frac{y d y}{4 - x ^{\frac{3}{4}}}

, sin^{2} (θ) (1 + cot^{2} (θ))

D OM ((4 - x) (x + 2) + \frac{5}{x - 3})

\frac{10 ( 3 - 3 )}{3}

\frac{81 b ^{3} y ^{2} - 3}{y ( x + 3 ) ^{2}}

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

What is expand (1/(x^{5/4)}+1/(4-x^{3/4)})*(-y)dy ?
The solution to expand (1/(x^{5/4)}+1/(4-x^{3/4)})*(-y)dy is -(ydy)/(x^{5/4)}-(ydy)/(4-x^{3/4)}