What is factor 216x^6-125y^6 ?

The solution to factor 216x^6-125y^6 is (6x^2-5y^2)(36x^4+30x^2y^2+25y^4)

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factor 216x^6-125y^6

factor

216 x^{6} - 125 y^{6}

(6 x^{2} - 5 y^{2}) (36 x^{4} + 30 x^{2} y^{2} + 25 y^{4})

Solution steps

216 x^{6} - 125 y^{6}

Apply exponent rules

= (6 x^{2})^{3} - (5 y^{2})^{3}

Apply Difference of Cubes Formula:

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

(6 x^{2})^{3} - (5 y^{2})^{3} = (6 x^{2} - 5 y^{2}) ((6 x^{2})^{2} + 6 x^{2} \cdot 5 y^{2} + (5 y^{2})^{2})

= (6 x^{2} - 5 y^{2}) ((6 x^{2})^{2} + 6 x^{2} \cdot 5 y^{2} + (5 y^{2})^{2})

Simplify

(6 x^{2})^{2} + 6 x^{2} \cdot 5 y^{2} + (5 y^{2})^{2} : 36 x^{4} + 30 x^{2} y^{2} + 25 y^{4}

= (6 x^{2} - 5 y^{2}) (36 x^{4} + 30 x^{2} y^{2} + 25 y^{4})

847

\frac{2}{a ^{2}} - \frac{3}{ab} + \frac{4}{b ^{2}}

2 x + 3 = 5 x + 24

1. 2^{5}

∣ s + 1 ∣ \geq 1

What is factor 216x^6-125y^6 ?
The solution to factor 216x^6-125y^6 is (6x^2-5y^2)(36x^4+30x^2y^2+25y^4)