What is factor 1-a^2-9n^2-6an ?

The solution to factor 1-a^2-9n^2-6an is -(3n+a+1)(3n+a-1)

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factor 1-a^2-9n^2-6an

factor

1 - a^{2} - 9 n^{2} - 6 an

- (3 n + a + 1) (3 n + a - 1)

Solution steps

1 - a^{2} - 9 n^{2} - 6 an

= (- a^{2} + 1) + (- 6 an - 9 n^{2})

Factor out

- 1

from

- a^{2} + 1 : - (a^{2} - 1)

Factor out

- 3 n

from

- 6 an - 9 n^{2} : - 3 n (2 a + 3 n)

= - (a^{2} - 1) - 3 n (2 a + 3 n)

Factor out

- 1

= - ((a^{2} - 1) + 3 n (2 a + 3 n))

Remove parentheses:

(a) = a

= - (a^{2} - 1 + 3 n (2 a + 3 n))

Expand

a^{2} - 1 + 3 n (2 a + 3 n) : a^{2} - 1 + 6 na + 9 n^{2}

= - (a^{2} - 1 + 6 na + 9 n^{2})

Factor

a^{2} - 1 + 6 na + 9 n^{2} : (3 n + a + 1) (3 n + a - 1)

= - (3 n + a + 1) (3 n + a - 1)

\frac{- 8}{- 12}

(12 x^{3})^{2}

8 h^{3} - 1

\frac{2}{2 - 2}

(1 + 2 x^{2})^{2}

What is factor 1-a^2-9n^2-6an ?
The solution to factor 1-a^2-9n^2-6an is -(3n+a+1)(3n+a-1)