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

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

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factor 4h^2-12hk+9k^2

factor

4 h^{2} - 12 hk + 9 k^{2}

(2 h - 3 k)^{2}

Solution steps

4 h^{2} - 12 hk + 9 k^{2}

Rewrite in the form of

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

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

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

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

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

Apply Perfect Square Formula:

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

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

= (2 h - 3 k)^{2}

2 t h (t - 2)

4 [2 (x + 1) - 3]

\frac{3}{x} \cdot x

4 x^{4} - 65 x^{2} + 16

[(x^{6} y^{- 6})^{- 1}]^{- 1}

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