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

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

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factor 9a^2-12ab+4b^2

factor

9 a^{2} - 12 ab + 4 b^{2}

(3 a - 2 b)^{2}

Solution steps

9 a^{2} - 12 ab + 4 b^{2}

Rewrite in the form of

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

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

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

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

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

Apply Perfect Square Formula:

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

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

= (3 a - 2 b)^{2}

m^{3} - 27 n^{3}

(c + 3) - 2 c - (1 - 3 c) = 2

x^{2} - 2.451 x + 1.5 = 0

\frac{x}{6} = \frac{6}{4}

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