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

The solution to expand (x-1/(5x))^2 is (25x^4-10x^2+1)/(25x^2)

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

expand

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

\frac{25 x ^{4} - 10 x ^{2} + 1}{25 x ^{2}}

Solution steps

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

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

Simplify

x^{2} - 2 x \frac{1}{5 x} + (\frac{1}{5 x})^{2} : \frac{25 x ^{4} - 10 x ^{2} + 1}{25 x ^{2}}

= \frac{25 x ^{4} - 10 x ^{2} + 1}{25 x ^{2}}

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

(x^{2} + y^{2} - 5) d x - (y + x y) d y

3 (2 - 5)

7 (8 + 3)

2 x y d x + (x^{2} + 1) d y

What is expand (x-1/(5x))^2 ?
The solution to expand (x-1/(5x))^2 is (25x^4-10x^2+1)/(25x^2)