What is factor x^2-2/5 x+1/25 ?

The solution to factor x^2-2/5 x+1/25 is (x-1/5)^2

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factor x^2-2/5 x+1/25

factor

x^{2} - \frac{2}{5} x + \frac{1}{25}

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

Solution steps

x^{2} - \frac{2}{5} x + \frac{1}{25}

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

Factor

\frac{1}{25} : (\frac{1}{5})^{2}

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

Apply Perfect Square Formula:

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

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

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

(- 512)^{\frac{1}{3}}

\frac{m ^{2} - 6 m + 8}{2 m - 2} \cdot \frac{10}{m - 4}

(x + 3)^{2} (x - 4)^{3} (2 x + 1)^{2} < 0

∣ 8 x - 2 ∣ \geq 2

e^{- \frac{3}{2}}

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