What is expand (30(3600+x^2))/(x^2) ?

The solution to expand (30(3600+x^2))/(x^2) is (108000)/(x^2)+30

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expand (30(3600+x^2))/(x^2)

expand

\frac{30 ( 3600 + x ^{2} )}{x ^{2}}

\frac{108000}{x ^{2}} + 30

Solution steps

\frac{30 ( 3600 + x ^{2} )}{x ^{2}}

Expand

30 (3600 + x^{2}) : 108000 + 30 x^{2}

= \frac{108000 + 30 x ^{2}}{x ^{2}}

Apply the fraction rule:

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

\frac{108000 + 30 x ^{2}}{x ^{2}} = \frac{108000}{x ^{2}} + \frac{30 x ^{2}}{x ^{2}}

= \frac{108000}{x ^{2}} + \frac{30 x ^{2}}{x ^{2}}

Cancel

\frac{30 x ^{2}}{x ^{2}} : 30

= \frac{108000}{x ^{2}} + 30

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

\frac{6 x + 3}{( x - 4 ) ^{2} ( x - 2 )}

\frac{9 x ^{2} - 18 x - 3}{( x - 2 ) ^{2}}

+ (9 t^{2} e^{- 4 t} - 3) y

\frac{4 s ^{2}}{( s - 3 ) ^{5}}

What is expand (30(3600+x^2))/(x^2) ?
The solution to expand (30(3600+x^2))/(x^2) is (108000)/(x^2)+30