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

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

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factor 4a^2-12a+9

factor

4 a^{2} - 12 a + 9

(2 a - 3)^{2}

Solution steps

4 a^{2} - 12 a + 9

Rewrite in the form of

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

4 a^{2} = (2 a)^{2}

9 = 3^{2}

- 12 a = - 2 \cdot 2 a \cdot 3

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

Apply Perfect Square Formula:

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

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

= (2 a - 3)^{2}

\frac{8}{3}

s^{2} + 6 s - 16 = 0

\frac{3}{3}

t - 26 = - 21

\frac{2}{9 - i}