What is expand 1/((x+r)^2*x^2) ?

The solution to expand 1/((x+r)^2*x^2) is 1/(x^4+2rx^3+r^2x^2)

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expand 1/((x+r)^2*x^2)

expand

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

\frac{1}{x ^{4} + 2 r x ^{3} + r ^{2} x ^{2}}

Solution steps

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

(x + r)^{2} = x^{2} + 2 r x + r^{2}

= \frac{1}{x ^{2} ( x ^{2} + 2 r x + r ^{2} )}

Expand

(x^{2} + 2 x r + r^{2}) x^{2} : x^{4} + 2 r x^{3} + r^{2} x^{2}

= \frac{1}{x ^{4} + 2 r x ^{3} + r ^{2} x ^{2}}

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

3 e^{2 (x + 1)} - (2 e)^{x} (e^{4} + 9) + 3 e^{2} \cdot 4^{x}

lo g_{10} (100 t)

\frac{5 ( s + 2 )}{( s ^{2} ( s + 1 ) ( s + 3 ) )}

(2 k) y (2 k, - 5)

What is expand 1/((x+r)^2*x^2) ?
The solution to expand 1/((x+r)^2*x^2) is 1/(x^4+2rx^3+r^2x^2)