What is factor m^2-8mn+16n^2 ?

The solution to factor m^2-8mn+16n^2 is (m-4n)^2

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factor m^2-8mn+16n^2

factor

m^{2} - 8 mn + 16 n^{2}

(m - 4 n)^{2}

Solution steps

m^{2} - 8 mn + 16 n^{2}

Rewrite in the form of

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

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

- 8 mn = - 2 m \cdot 4 n

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

Apply Perfect Square Formula:

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

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

= (m - 4 n)^{2}

16 p^{4} - 81

\frac{1}{2} + \frac{4}{11}

4 e^{\frac{- 5 πi}{6}}

(1)^{9}

- x + x - 5 - 1 + x