What is factor 9m^2-6mn+n^2 ?

The solution to factor 9m^2-6mn+n^2 is (3m-n)^2

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factor 9m^2-6mn+n^2

factor

9 m^{2} - 6 mn + n^{2}

(3 m - n)^{2}

Solution steps

9 m^{2} - 6 mn + n^{2}

Rewrite in the form of

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

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

- 6 mn = - 2 \cdot 3 mn

= (3 m)^{2} - 2 \cdot 3 mn + n^{2}

Apply Perfect Square Formula:

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

(3 m)^{2} - 2 \cdot 3 mn + n^{2} = (3 m - n)^{2}

= (3 m - n)^{2}

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

5^{l o g_{5} (25)}

ln (e^{2 x})

14 \cdot 14 \cdot 14

(\frac{2}{3})^{2}