What is factor x^{12}-216y^9 ?

The solution to factor x^{12}-216y^9 is (x^4-6y^3)(x^8+6x^4y^3+36y^6)

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factor x^{12}-216y^9

factor

x^{12} - 216 y^{9}

(x^{4} - 6 y^{3}) (x^{8} + 6 x^{4} y^{3} + 36 y^{6})

Solution steps

x^{12} - 216 y^{9}

Apply exponent rules

= (x^{4})^{3} - (6 y^{3})^{3}

Apply Difference of Cubes Formula:

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

(x^{4})^{3} - (6 y^{3})^{3} = (x^{4} - 6 y^{3}) ((x^{4})^{2} + x^{4} \cdot 6 y^{3} + (6 y^{3})^{2})

= (x^{4} - 6 y^{3}) ((x^{4})^{2} + x^{4} \cdot 6 y^{3} + (6 y^{3})^{2})

Simplify

(x^{4})^{2} + x^{4} \cdot 6 y^{3} + (6 y^{3})^{2} : x^{8} + 6 x^{4} y^{3} + 36 y^{6}

= (x^{4} - 6 y^{3}) (x^{8} + 6 x^{4} y^{3} + 36 y^{6})

⌊ - 0.5 ⌋

(s + 2) (s + 6)

((1 + x)^{2})^{2}

3 (12 + 45) - 5

\frac{1}{x ^{3} - 1} - \frac{1}{x ^{2} - 1}

What is factor x^{12}-216y^9 ?
The solution to factor x^{12}-216y^9 is (x^4-6y^3)(x^8+6x^4y^3+36y^6)