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

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

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factor 4h^2-12h+9

factor

4 h^{2} - 12 h + 9

(2 h - 3)^{2}

Solution steps

4 h^{2} - 12 h + 9

Rewrite in the form of

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

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

9 = 3^{2}

- 12 h = - 2 \cdot 2 h \cdot 3

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

Apply Perfect Square Formula:

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

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

= (2 h - 3)^{2}

(y + 10)^{2}

- 20 + 45

\frac{( - 2 ab ) ^{2}}{2 b}

4 (10 x + 6) - 10 (9 x + 9)

x^{9} - 512