What is factor 81x^2-36x+4 ?

The solution to factor 81x^2-36x+4 is (9x-2)^2

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factor 81x^2-36x+4

factor

81 x^{2} - 36 x + 4

(9 x - 2)^{2}

Solution steps

81 x^{2} - 36 x + 4

Rewrite in the form of

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

81 x^{2} = (9 x)^{2}

4 = 2^{2}

- 36 x = - 2 \cdot 9 x \cdot 2

= (9 x)^{2} - 2 \cdot 9 x \cdot 2 + 2^{2}

Apply Perfect Square Formula:

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

(9 x)^{2} - 2 \cdot 9 x \cdot 2 + 2^{2} = (9 x - 2)^{2}

= (9 x - 2)^{2}

8 y - 36

w^{2} - 14 w + 49

342

s^{2} - 4 s + 2 = 0

49 x^{2} - 154 x + 121