What is factor 16m^2-40mn+25n^2 ?

The solution to factor 16m^2-40mn+25n^2 is (4m-5n)^2

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factor 16m^2-40mn+25n^2

factor

16 m^{2} - 40 mn + 25 n^{2}

(4 m - 5 n)^{2}

Solution steps

16 m^{2} - 40 mn + 25 n^{2}

Rewrite in the form of

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

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

25 n^{2} = (5 n)^{2}

- 40 mn = - 2 \cdot 4 m \cdot 5 n

= (4 m)^{2} - 2 \cdot 4 m \cdot 5 n + (5 n)^{2}

Apply Perfect Square Formula:

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

(4 m)^{2} - 2 \cdot 4 m \cdot 5 n + (5 n)^{2} = (4 m - 5 n)^{2}

= (4 m - 5 n)^{2}

\frac{\frac{40}{41}}{\frac{9}{41}}

2 - ∣ 3 x - 6 ∣ = 4

a^{2} + a + a^{2} = 28

16 + 9

3 t^{2} - 30 t + 72

What is factor 16m^2-40mn+25n^2 ?
The solution to factor 16m^2-40mn+25n^2 is (4m-5n)^2