What is factor 1-p^6 ?

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

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factor 1-p^6

factor

1 - p^{6}

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

Solution steps

1 - p^{6}

Write in the standard form

= - p^{6} + 1

Factor out

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

= - (p^{6} - 1)

Factor

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

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

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

\frac{5}{6} + \frac{4}{9}

\frac{10}{x ^{2} + 3 x} + \frac{15}{x ^{2}}

(1 - a)^{2}

x^{2} - 5 x + \frac{25}{4}

(2 x + 3) (x - 2)

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