What is factor 16a^2-8a+1 ?

The solution to factor 16a^2-8a+1 is (4a-1)^2

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factor 16a^2-8a+1

factor

16 a^{2} - 8 a + 1

(4 a - 1)^{2}

Solution steps

16 a^{2} - 8 a + 1

Rewrite in the form of

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

16 a^{2} = (4 a)^{2}

1 = 1^{2}

- 8 a = - 2 \cdot 4 a \cdot 1

= (4 a)^{2} - 2 \cdot 4 a \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

(4 a)^{2} - 2 \cdot 4 a \cdot 1 + 1^{2} = (4 a - 1)^{2}

= (4 a - 1)^{2}

k^{3} - 27

(\frac{1}{6})^{1}

5 \cdot 880

- \frac{2}{5} \cdot 5

3 x^{2} - 5 x = - 2