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Popular >

factor x^9+27

Solution

factor

x^{9} + 27

Solution

(x^{3} + 3) (x^{6} - 3 x^{3} + 9)

Solution steps

x^{9} + 27

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

(x^{3})^{3} + 3^{3} = (x^{3} + 3) (x^{6} - 3 x^{3} + 3^{2})

= (x^{3} + 3) (x^{6} - 3 x^{3} + 3^{2})

3^{2} = 9

= (x^{3} + 3) (x^{6} - 3 x^{3} + 9)

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Frequently Asked Questions (FAQ)

What is factor x^9+27 ?
The solution to factor x^9+27 is (x^3+3)(x^6-3x^3+9)