What is factor 1-a^6 ?

The solution to factor 1-a^6 is -(a+1)(a-1)(a^2+1+a)(a^2+1-a)

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factor 1-a^6

factor

1 - a^{6}

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

Solution steps

1 - a^{6}

Write in the standard form

= - a^{6} + 1

Factor out

- 1 : - (a^{6} - 1)

= - (a^{6} - 1)

Factor

a^{6} - 1 : (a + 1) (a - 1) (a^{2} + 1 + a) (a^{2} + 1 - a)

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

\frac{1}{( 2 ) \cdot ( sin ( x ) - cos ( x ) )}

(\frac{x - 1}{x})^{2} - (\frac{x + 1}{x})^{2}

3 x^{2} + x^{- 2}

(2 x - 3 x + 6 x^{2} + x) - (x^{5} - 4 x^{2} - x^{2} + 4 x)

\frac{( x + y )}{( x ^{2} - y )} + \frac{( x - 2 y )}{( 3 x ^{2} - 3 y )}

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