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

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

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factor 9t^2-12t+4

factor

9 t^{2} - 12 t + 4

(3 t - 2)^{2}

Solution steps

9 t^{2} - 12 t + 4

Rewrite in the form of

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

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

4 = 2^{2}

- 12 t = - 2 \cdot 3 t \cdot 2

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

Apply Perfect Square Formula:

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

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

= (3 t - 2)^{2}

\frac{7}{2}

\frac{4 t}{3} + 3 t - 5 = 0

(\frac{15}{2})^{2}

\frac{1}{4} x^{2} - 25 y^{2}

5 x^{2} - 16 x + 12