What is factor 36-36n+9n^2 ?

The solution to factor 36-36n+9n^2 is 9(n-2)^2

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factor 36-36n+9n^2

factor

36 - 36 n + 9 n^{2}

9 (n - 2)^{2}

Solution steps

36 - 36 n + 9 n^{2}

Write in the standard form

= 9 n^{2} - 36 n + 36

Factor out common term

9 : 9 (n^{2} - 4 n + 4)

= 9 (n^{2} - 4 n + 4)

Factor

n^{2} - 4 n + 4 : (n - 2) (n - 2)

= 9 (n - 2) (n - 2)

Apply exponent rule:

aa = a^{2}

(n - 2) (n - 2) = (n - 2)^{2}

= 9 (n - 2)^{2}

1 8^{2}

- \frac{4}{49}

\frac{4}{3 2 + 2 3}

\frac{25}{400}

6 n^{2} - 13 mn - 15 m^{2}