What is expand (100(0.2x^2+1))/(x^2*(0.01x+1)) ?

The solution to expand (100(0.2x^2+1))/(x^2*(0.01x+1)) is (20x^2+100)/(0.01x^3+x^2)

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expand (100(0.2x^2+1))/(x^2*(0.01x+1))

expand

\frac{100 ( 0.2 x ^{2} + 1 )}{x ^{2} \cdot ( 0.01 x + 1 )}

\frac{20 x ^{2} + 100}{0.01 x ^{3} + x ^{2}}

Solution steps

\frac{100 ( 0.2 x ^{2} + 1 )}{x ^{2} ( 0.01 x + 1 )}

Expand

x^{2} (0.01 x + 1) : 0.01 x^{3} + x^{2}

= \frac{100 ( 0.2 x ^{2} + 1 )}{0.01 x ^{3} + x ^{2}}

Expand

100 (0.2 x^{2} + 1) : 20 x^{2} + 100

= \frac{20 x ^{2} + 100}{0.01 x ^{3} + x ^{2}}

(c e^{t^{2}} + 4 t)^{2}

\frac{3 ( s + 100 )}{4}

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

\frac{2 x ( - x ^{4} + y ^{4} ) ^{2}}{y ^{9}}

\frac{( x + 4 ) ( x + 5 )}{( x + 1 ) ( x + 2 ) ( x - 3 )}

What is expand (100(0.2x^2+1))/(x^2*(0.01x+1)) ?
The solution to expand (100(0.2x^2+1))/(x^2*(0.01x+1)) is (20x^2+100)/(0.01x^3+x^2)