What is expand (3x+20)/(4(x+5)^{3/2)} ?

The solution to expand (3x+20)/(4(x+5)^{3/2)} is (3x)/(4(x+5)^{3/2)}+5/((x+5)^{3/2)}

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expand (3x+20)/(4(x+5)^{3/2)}

expand

\frac{3 x + 20}{4 ( x + 5 ) ^{\frac{3}{2}}}

\frac{3 x}{4 ( x + 5 ) ^{\frac{3}{2}}} + \frac{5}{( x + 5 ) ^{\frac{3}{2}}}

Solution steps

\frac{3 x + 20}{4 ( x + 5 ) ^{\frac{3}{2}}}

Apply the fraction rule:

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

\frac{3 x + 20}{4 ( x + 5 ) ^{\frac{3}{2}}} = \frac{3 x}{4 ( x + 5 ) ^{\frac{3}{2}}} + \frac{20}{4 ( x + 5 ) ^{\frac{3}{2}}}

= \frac{3 x}{4 ( x + 5 ) ^{\frac{3}{2}}} + \frac{20}{4 ( x + 5 ) ^{\frac{3}{2}}}

Divide the numbers:

\frac{20}{4} = 5

= \frac{3 x}{4 ( x + 5 ) ^{\frac{3}{2}}} + \frac{5}{( x + 5 ) ^{\frac{3}{2}}}

- 4 (x + \frac{1}{16})

1 + cos (x) (csc (x) - cot (x))

arctan (f (4 x^{3} + 2))

\frac{d}{d t} ((x) (1 + 6 t))

\frac{10}{( s + 1 ) ( s + 2.5 )}

What is expand (3x+20)/(4(x+5)^{3/2)} ?
The solution to expand (3x+20)/(4(x+5)^{3/2)} is (3x)/(4(x+5)^{3/2)}+5/((x+5)^{3/2)}