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

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

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factor 9k^2-12k+4

factor

9 k^{2} - 12 k + 4

(3 k - 2)^{2}

Solution steps

9 k^{2} - 12 k + 4

Rewrite in the form of

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

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

4 = 2^{2}

- 12 k = - 2 \cdot 3 k \cdot 2

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

Apply Perfect Square Formula:

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

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

= (3 k - 2)^{2}

- \frac{1}{9} - (- \frac{2}{15})

x^{2} = 5 x + 84

\frac{5}{4} + \frac{3}{2}

- 3 (\frac{1}{3})^{0}

3 x^{2} + 9 x - 12 = 0