What is factor 1000x^3-1 ?

The solution to factor 1000x^3-1 is (10x-1)(100x^2+10x+1)

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factor 1000x^3-1

factor

1000 x^{3} - 1

(10 x - 1) (100 x^{2} + 10 x + 1)

Solution steps

1000 x^{3} - 1

Apply exponent rules

= (10 x)^{3} - 1^{3}

Apply Difference of Cubes Formula:

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

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

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

1 0^{2} = 100

= (10 x - 1) (100 x^{2} + 10 x + 1)

\frac{( 2 x + 1 ) !}{( 2 x + 3 ) !}

4 x^{5} + 20 x^{4} - 3 x^{2} - 14 x + 5

(- 1 - 3 i)^{2}

(9 - a) (9 + a)

lo g_{12} (89.5)

What is factor 1000x^3-1 ?
The solution to factor 1000x^3-1 is (10x-1)(100x^2+10x+1)