What is factor 100x^2-20x+1 ?

The solution to factor 100x^2-20x+1 is (10x-1)^2

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factor 100x^2-20x+1

factor

100 x^{2} - 20 x + 1

(10 x - 1)^{2}

Solution steps

100 x^{2} - 20 x + 1

Rewrite in the form of

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

100 x^{2} = (10 x)^{2}

1 = 1^{2}

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

= (10 x)^{2} - 2 \cdot 10 x \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

(10 x)^{2} - 2 \cdot 10 x \cdot 1 + 1^{2} = (10 x - 1)^{2}

= (10 x - 1)^{2}

2 a y^{2} + 5 a y - 3 a

\frac{1}{18} w - \frac{1}{36} + \frac{1}{3} w = \frac{1}{3} + w

- (- 4)^{2}

64 b^{2} = 9

x^{3} + x^{2} + 4