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

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

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factor 4d^2-12d+9

factor

4 d^{2} - 12 d + 9

(2 d - 3)^{2}

Solution steps

4 d^{2} - 12 d + 9

Rewrite in the form of

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

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

9 = 3^{2}

- 12 d = - 2 \cdot 2 d \cdot 3

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

Apply Perfect Square Formula:

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

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

= (2 d - 3)^{2}

h^{2} + 3^{2} = 5^{2}

\frac{5}{6 + 3}

3 m^{2} + 10 m + 8

5 (y + 2) + y = 3 (y - 1) + 1