What is factor 1+a^9 ?

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

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factor 1+a^9

factor

1 + a^{9}

(a + 1) (a^{2} - a + 1) (a^{6} - a^{3} + 1)

Solution steps

1 + a^{9}

Write in the standard form

= a^{9} + 1

Apply exponent rules

= (a^{3})^{3} + 1^{3}

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

(a^{3})^{3} + 1^{3} = (a^{3} + 1) (a^{6} - a^{3} + 1)

= (a^{3} + 1) (a^{6} - a^{3} + 1)

Factor

a^{3} + 1 : (a + 1) (a^{2} - a + 1)

= (a + 1) (a^{2} - a + 1) (a^{6} - a^{3} + 1)

- 4 x^{2} + 8 x

x y^{2} + x^{4}

\frac{60}{72}

81 - - 2 - 144 + - 32

(2 x - y)^{6}

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