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

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

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factor 9v^2-12v+4

factor

9 v^{2} - 12 v + 4

(3 v - 2)^{2}

Solution steps

9 v^{2} - 12 v + 4

Rewrite in the form of

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

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

4 = 2^{2}

- 12 v = - 2 \cdot 3 v \cdot 2

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

Apply Perfect Square Formula:

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

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

= (3 v - 2)^{2}

8 n^{4} + 24 n^{3} - n - 3

\frac{4}{3} - \frac{3}{4}

- 3 x \leq 9

\frac{π}{\frac{2}{6}}

x^{4} - 2 x^{2} - 8