What is factor x^{21}+27 ?

The solution to factor x^{21}+27 is (x^7+3)(x^{14}-3x^7+9)

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factor x^{21}+27

factor

x^{21} + 27

(x^{7} + 3) (x^{14} - 3 x^{7} + 9)

Solution steps

x^{21} + 27

Apply exponent rules

= (x^{7})^{3} + 3^{3}

Apply Sum of Cubes Formula:

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

(x^{7})^{3} + 3^{3} = (x^{7} + 3) (x^{14} - 3 x^{7} + 3^{2})

= (x^{7} + 3) (x^{14} - 3 x^{7} + 3^{2})

3^{2} = 9

= (x^{7} + 3) (x^{14} - 3 x^{7} + 9)

π (16)

(5 a) - 2

a z^{4} + b z^{3} - 2 a z - 2 b

2 cos^{2} (x) + 5 cos (x) + 3

e^{4} - 1

What is factor x^{21}+27 ?
The solution to factor x^{21}+27 is (x^7+3)(x^{14}-3x^7+9)