What is factor 64x^6-125y^6 ?

The solution to factor 64x^6-125y^6 is (4x^2-5y^2)(16x^4+20x^2y^2+25y^4)

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factor 64x^6-125y^6

factor

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

(4 x^{2} - 5 y^{2}) (16 x^{4} + 20 x^{2} y^{2} + 25 y^{4})

Solution steps

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

Apply exponent rules

= (4 x^{2})^{3} - (5 y^{2})^{3}

Apply Difference of Cubes Formula:

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

(4 x^{2})^{3} - (5 y^{2})^{3} = (4 x^{2} - 5 y^{2}) ((4 x^{2})^{2} + 4 x^{2} \cdot 5 y^{2} + (5 y^{2})^{2})

= (4 x^{2} - 5 y^{2}) ((4 x^{2})^{2} + 4 x^{2} \cdot 5 y^{2} + (5 y^{2})^{2})

Simplify

(4 x^{2})^{2} + 4 x^{2} \cdot 5 y^{2} + (5 y^{2})^{2} : 16 x^{4} + 20 x^{2} y^{2} + 25 y^{4}

= (4 x^{2} - 5 y^{2}) (16 x^{4} + 20 x^{2} y^{2} + 25 y^{4})

\frac{8 - 7 i}{8 + i}

(- 9 + i) (- 9 - i)

3 (x - 1) + 5 = 6 - (x + 2)

(2 x)^{- 1}

x^{2} + 6 x + 112 = 0

What is factor 64x^6-125y^6 ?
The solution to factor 64x^6-125y^6 is (4x^2-5y^2)(16x^4+20x^2y^2+25y^4)