What is factor 25x^2-10x+1 ?

The solution to factor 25x^2-10x+1 is (5x-1)^2

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factor 25x^2-10x+1

factor

25 x^{2} - 10 x + 1

(5 x - 1)^{2}

Solution steps

25 x^{2} - 10 x + 1

Rewrite in the form of

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

25 x^{2} = (5 x)^{2}

1 = 1^{2}

- 10 x = - 2 \cdot 5 x \cdot 1

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

Apply Perfect Square Formula:

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

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

= (5 x - 1)^{2}

a^{2} - 4 a - 45

x + 1 = 2 x + 2

lo g_{3} (16)

\frac{1}{3} (- 6)

(\frac{1}{27})^{\frac{1}{3}}