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

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

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factor 25n^2-30n+9

factor

25 n^{2} - 30 n + 9

(5 n - 3)^{2}

Solution steps

25 n^{2} - 30 n + 9

Rewrite in the form of

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

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

9 = 3^{2}

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

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

Apply Perfect Square Formula:

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

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

= (5 n - 3)^{2}

- (- 14)

(a - b)^{6}

- 4 ∣ 5 + (- 3) ∣

(- \frac{2}{5})^{2}

- 4 (2 x + 3)