What is factor 16m^2-24mn+9n^2 ?

The solution to factor 16m^2-24mn+9n^2 is (4m-3n)^2

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factor 16m^2-24mn+9n^2

factor

16 m^{2} - 24 mn + 9 n^{2}

(4 m - 3 n)^{2}

Solution steps

16 m^{2} - 24 mn + 9 n^{2}

Rewrite in the form of

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

16 m^{2} = (4 m)^{2}

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

- 24 mn = - 2 \cdot 4 m \cdot 3 n

= (4 m)^{2} - 2 \cdot 4 m \cdot 3 n + (3 n)^{2}

Apply Perfect Square Formula:

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

(4 m)^{2} - 2 \cdot 4 m \cdot 3 n + (3 n)^{2} = (4 m - 3 n)^{2}

= (4 m - 3 n)^{2}

2 n^{2} + 3 n - 5 = 0

24 y^{2} + 10 y - 2

x - 15 = 14

\frac{2 π}{\frac{2 π}{5}}

What is factor 16m^2-24mn+9n^2 ?
The solution to factor 16m^2-24mn+9n^2 is (4m-3n)^2