What is factor x^3-1000 ?

The solution to factor x^3-1000 is (x-10)(x^2+10x+100)

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factor x^3-1000

factor

x^{3} - 1000

(x - 10) (x^{2} + 10 x + 100)

Solution steps

x^{3} - 1000

Rewrite

1000

1 0^{3}

= x^{3} - 1 0^{3}

Apply Difference of Cubes Formula:

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

x^{3} - 1 0^{3} = (x - 10) (x^{2} + 10 x + 1 0^{2})

= (x - 10) (x^{2} + 10 x + 1 0^{2})

1 0^{2} = 100

= (x - 10) (x^{2} + 10 x + 100)

(x + h)^{2} - x^{2}

1 + (x^{\frac{1}{3} - \frac{1}{4} x^{- \frac{1}{3}}})^{2}

- \frac{3}{5} \cdot 2

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

1168

What is factor x^3-1000 ?
The solution to factor x^3-1000 is (x-10)(x^2+10x+100)