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

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

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factor 9n^2-24n+16

factor

9 n^{2} - 24 n + 16

(3 n - 4)^{2}

Solution steps

9 n^{2} - 24 n + 16

Rewrite in the form of

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

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

16 = 4^{2}

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

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

Apply Perfect Square Formula:

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

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

= (3 n - 4)^{2}

8^{\frac{1}{6}}

5 n - 12 = - 3 n + 4

4 \cdot 2

(x - 8)^{2} - 13 (x - 8) + 30 = 0