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

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

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factor 4-36u+81u^2

factor

4 - 36 u + 81 u^{2}

(9 u - 2)^{2}

Solution steps

4 - 36 u + 81 u^{2}

Write in the standard form

= 81 u^{2} - 36 u + 4

Rewrite in the form of

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

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

4 = 2^{2}

- 36 u = - 2 \cdot 9 u \cdot 2

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

Apply Perfect Square Formula:

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

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

= (9 u - 2)^{2}

(9 + 2 i) (9 - 2 i)

(7 - 8 i)^{- 1}

\frac{- 18}{6}

3 2^{0.4}

- (- 3.4 c + 1)