What is expand (3(x+3)(x+5))/(x^6) ?

The solution to expand (3(x+3)(x+5))/(x^6) is 3/(x^4)+(24)/(x^5)+(45)/(x^6)

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expand (3(x+3)(x+5))/(x^6)

expand

\frac{3 ( x + 3 ) ( x + 5 )}{x ^{6}}

\frac{3}{x ^{4}} + \frac{24}{x ^{5}} + \frac{45}{x ^{6}}

Solution steps

\frac{3 ( x + 3 ) ( x + 5 )}{x ^{6}}

Expand

3 (x + 3) (x + 5) : 3 x^{2} + 24 x + 45

= \frac{3 x ^{2} + 24 x + 45}{x ^{6}}

Apply the fraction rule:

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

\frac{3 x ^{2} + 24 x + 45}{x ^{6}} = \frac{3 x ^{2}}{x ^{6}} + \frac{24 x}{x ^{6}} + \frac{45}{x ^{6}}

= \frac{3 x ^{2}}{x ^{6}} + \frac{24 x}{x ^{6}} + \frac{45}{x ^{6}}

Cancel

\frac{3 x ^{2}}{x ^{6}} : \frac{3}{x ^{4}}

= \frac{3}{x ^{4}} + \frac{24 x}{x ^{6}} + \frac{45}{x ^{6}}

Cancel

\frac{24 x}{x ^{6}} : \frac{24}{x ^{5}}

= \frac{3}{x ^{4}} + \frac{24}{x ^{5}} + \frac{45}{x ^{6}}

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

\frac{( - 3 x - 8 ) ( x - 1 )}{9}

\frac{( x ^{2} - 9 ) ( x - 2 )}{3 x + 6}

\frac{2 A - 3}{2 ( A - 1 )}

L im x \Rightarrow 3 (2 x - 3)

What is expand (3(x+3)(x+5))/(x^6) ?
The solution to expand (3(x+3)(x+5))/(x^6) is 3/(x^4)+(24)/(x^5)+(45)/(x^6)