What is factor 2197x^3-8y^3 ?

The solution to factor 2197x^3-8y^3 is (13x-2y)(169x^2+26xy+4y^2)

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factor 2197x^3-8y^3

factor

2197 x^{3} - 8 y^{3}

(13 x - 2 y) (169 x^{2} + 26 x y + 4 y^{2})

Solution steps

2197 x^{3} - 8 y^{3}

Apply exponent rules

= (13 x)^{3} - (2 y)^{3}

Apply Difference of Cubes Formula:

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

(13 x)^{3} - (2 y)^{3} = (13 x - 2 y) ((13 x)^{2} + 13 x \cdot 2 y + (2 y)^{2})

= (13 x - 2 y) ((13 x)^{2} + 13 x \cdot 2 y + (2 y)^{2})

Simplify

(13 x)^{2} + 13 x \cdot 2 y + (2 y)^{2} : 169 x^{2} + 26 x y + 4 y^{2}

= (13 x - 2 y) (169 x^{2} + 26 x y + 4 y^{2})

108 x^{4} + 27 x^{4}

(\frac{3}{2} x + \frac{2}{3} y)^{2}

50 + (0.91 x^{173.355} - 152.4)

(16 x^{16})^{\frac{1}{4}}

x^{2} + 3 x + 13 x^{4} + 5 x^{3} - 7 x^{2} + 2 x + 2

What is factor 2197x^3-8y^3 ?
The solution to factor 2197x^3-8y^3 is (13x-2y)(169x^2+26xy+4y^2)