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

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

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factor 4y^2-12y+9

factor

4 y^{2} - 12 y + 9

(2 y - 3)^{2}

Solution steps

4 y^{2} - 12 y + 9

Rewrite in the form of

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

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

9 = 3^{2}

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

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

Apply Perfect Square Formula:

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

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

= (2 y - 3)^{2}

- 4 u - 6 u^{2} - 8 v - 6 v^{2} - 2

m^{2} - 10 m = - 16

2 y^{2} - 15 y + 18

98 + g = 150

10 x^{2} + 49 x + 18