What is expand (100)/((1-x*10)^2) ?

The solution to expand (100)/((1-x*10)^2) is (100)/(1-20x+100x^2)

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expand (100)/((1-x*10)^2)

expand

\frac{100}{( 1 - x \cdot 10 ) ^{2}}

\frac{100}{1 - 20 x + 100 x ^{2}}

Solution steps

\frac{100}{( 1 - x \cdot 10 ) ^{2}}

(1 - x \cdot 10)^{2} = 1 - 20 x + 100 x^{2}

= \frac{100}{1 - 20 x + 100 x ^{2}}

e^{2 (x - 3)} + e^{- 2 (x - 3)}

\frac{( 2 x - 6 ) ( x + 4 )}{( x + 5 ) ( x - 2 )}

(e^{x} - 1) (e^{x} - x)^{2}

(2 x^{2} + 3 x - 3) e^{x}

\frac{( x + 2 ) \cdot ( x + 1 )}{2 x}

What is expand (100)/((1-x*10)^2) ?
The solution to expand (100)/((1-x*10)^2) is (100)/(1-20x+100x^2)