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Popular >

factor x^3+2197

Solution

factor

x^{3} + 2197

Solution

(x + 13) (x^{2} - 13 x + 169)

Solution steps

x^{3} + 2197

Rewrite

2197

as

1 3^{3}

= x^{3} + 1 3^{3}

Apply Sum of Cubes Formula:

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

x^{3} + 1 3^{3} = (x + 13) (x^{2} - 13 x + 1 3^{2})

= (x + 13) (x^{2} - 13 x + 1 3^{2})

1 3^{2} = 169

= (x + 13) (x^{2} - 13 x + 169)

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Frequently Asked Questions (FAQ)

What is factor x^3+2197 ?
The solution to factor x^3+2197 is (x+13)(x^2-13x+169)