What is factor 9w^2-12w+4 ?

The solution to factor 9w^2-12w+4 is (3w-2)^2

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factor 9w^2-12w+4

factor

9 w^{2} - 12 w + 4

(3 w - 2)^{2}

Solution steps

9 w^{2} - 12 w + 4

Rewrite in the form of

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

9 w^{2} = (3 w)^{2}

4 = 2^{2}

- 12 w = - 2 \cdot 3 w \cdot 2

= (3 w)^{2} - 2 \cdot 3 w \cdot 2 + 2^{2}

Apply Perfect Square Formula:

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

(3 w)^{2} - 2 \cdot 3 w \cdot 2 + 2^{2} = (3 w - 2)^{2}

= (3 w - 2)^{2}

\frac{1}{2 ( 1 )}

\frac{- 2}{1 + 3 i}

64 x^{8} y^{10}

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