What is factor 9m^2-30mn+25n^2 ?

The solution to factor 9m^2-30mn+25n^2 is (3m-5n)^2

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factor 9m^2-30mn+25n^2

factor

9 m^{2} - 30 mn + 25 n^{2}

(3 m - 5 n)^{2}

Solution steps

9 m^{2} - 30 mn + 25 n^{2}

Rewrite in the form of

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

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

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

- 30 mn = - 2 \cdot 3 m \cdot 5 n

= (3 m)^{2} - 2 \cdot 3 m \cdot 5 n + (5 n)^{2}

Apply Perfect Square Formula:

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

(3 m)^{2} - 2 \cdot 3 m \cdot 5 n + (5 n)^{2} = (3 m - 5 n)^{2}

= (3 m - 5 n)^{2}

\frac{3}{8} \cdot 12

\frac{4 + - 81}{7 - - 64}

- \frac{1}{4} \cdot 2

7 = ∣ 3 x - 4 ∣ + 5

7 - 2 (5 x - 13) = - 17

What is factor 9m^2-30mn+25n^2 ?
The solution to factor 9m^2-30mn+25n^2 is (3m-5n)^2