What is factor 9x^2-12xy+4y^2 ?

The solution to factor 9x^2-12xy+4y^2 is (3x-2y)^2

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factor 9x^2-12xy+4y^2

factor

9 x^{2} - 12 x y + 4 y^{2}

(3 x - 2 y)^{2}

Solution steps

9 x^{2} - 12 x y + 4 y^{2}

Rewrite in the form of

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

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

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

- 12 x y = - 2 \cdot 3 x \cdot 2 y

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

Apply Perfect Square Formula:

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

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

= (3 x - 2 y)^{2}

6 x^{2} - 12 x - 48 = 0

18 x^{2} + 72 x + 54

(106.5 - y)^{2} + (y - 104.4)^{2} + 45.45 = 4.149 7^{2} \cdot 3

(x + 1)^{2} - 4 y^{2}

5 x^{2} - 44 x - 9

What is factor 9x^2-12xy+4y^2 ?
The solution to factor 9x^2-12xy+4y^2 is (3x-2y)^2