What is factor 27x^3-1000 ?

The solution to factor 27x^3-1000 is (3x-10)(9x^2+30x+100)

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factor 27x^3-1000

factor

27 x^{3} - 1000

(3 x - 10) (9 x^{2} + 30 x + 100)

Solution steps

27 x^{3} - 1000

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(3 x - 10) (3^{2} x^{2} + 10 \cdot 3 x + 1 0^{2}) : (3 x - 10) (9 x^{2} + 30 x + 100)

= (3 x - 10) (9 x^{2} + 30 x + 100)

\frac{1 - x ^{2}}{1 - x ^{2}}

- 5 \times 0

7 \times 17

7 \times 26

7 \times 23

What is factor 27x^3-1000 ?
The solution to factor 27x^3-1000 is (3x-10)(9x^2+30x+100)