What is factor 1+a^7 ?

The solution to factor 1+a^7 is (a+1)(a^6-a^5+a^4-a^3+a^2-a+1)

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factor 1+a^7

factor

1 + a^{7}

(a + 1) (a^{6} - a^{5} + a^{4} - a^{3} + a^{2} - a + 1)

Solution steps

1 + a^{7}

Write in the standard form

= a^{7} + 1

Rewrite

1

1^{7}

= a^{7} + 1^{7}

Apply factoring rule:

x^{n} + y^{n} = (x + y) (x^{n - 1} - x^{n - 2} y + \dots - x y^{n - 2} + y^{n - 1}), n i s o dd

a^{7} + 1^{7} = (a + 1) (a^{6} - a^{5} + a^{4} - a^{3} + a^{2} - a + 1)

= (a + 1) (a^{6} - a^{5} + a^{4} - a^{3} + a^{2} - a + 1)

180 \cdot \frac{π}{180}

(8 - 10 i) - (- 16 + 2 i)

2 m^{4} + 6 - a m^{4} - 3 a

x^{2} < 25

p + 2 = - 9

What is factor 1+a^7 ?
The solution to factor 1+a^7 is (a+1)(a^6-a^5+a^4-a^3+a^2-a+1)