What is factor 1331x^3-8y^3 ?

The solution to factor 1331x^3-8y^3 is (11x-2y)(121x^2+22xy+4y^2)

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factor 1331x^3-8y^3

factor

1331 x^{3} - 8 y^{3}

(11 x - 2 y) (121 x^{2} + 22 x y + 4 y^{2})

Solution steps

1331 x^{3} - 8 y^{3}

Apply exponent rules

= (11 x)^{3} - (2 y)^{3}

Apply Difference of Cubes Formula:

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

(11 x)^{3} - (2 y)^{3} = (11 x - 2 y) ((11 x)^{2} + 11 x \cdot 2 y + (2 y)^{2})

= (11 x - 2 y) ((11 x)^{2} + 11 x \cdot 2 y + (2 y)^{2})

Simplify

(11 x)^{2} + 11 x \cdot 2 y + (2 y)^{2} : 121 x^{2} + 22 x y + 4 y^{2}

= (11 x - 2 y) (121 x^{2} + 22 x y + 4 y^{2})

(8 a^{- 9})^{- \frac{2}{3}}

5 + 6 x = 7

23 p = 5 p^{2} + 24

5 x^{2} + 23 x - 10

50 b^{2} = 2

What is factor 1331x^3-8y^3 ?
The solution to factor 1331x^3-8y^3 is (11x-2y)(121x^2+22xy+4y^2)