What is expand 1/((5x^2-2x)^2) ?

The solution to expand 1/((5x^2-2x)^2) is 1/(25x^4-20x^3+4x^2)

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expand 1/((5x^2-2x)^2)

expand

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

\frac{1}{25 x ^{4} - 20 x ^{3} + 4 x ^{2}}

Solution steps

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

(5 x^{2} - 2 x)^{2} = 25 x^{4} - 20 x^{3} + 4 x^{2}

= \frac{1}{25 x ^{4} - 20 x ^{3} + 4 x ^{2}}

- \frac{3}{( x - 1 ) ^{2}}

c \cdot e^{(1 + 3 i) x} x + c_{0} e^{(1 - 3 i) x}

\frac{x - 3}{x ^{2} ( x - 5 )}

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

\frac{2 ( 3 - 6 )}{3}

What is expand 1/((5x^2-2x)^2) ?
The solution to expand 1/((5x^2-2x)^2) is 1/(25x^4-20x^3+4x^2)