What is factor 64x^3-125y^6 ?

The solution to factor 64x^3-125y^6 is (4x-5y^2)(16x^2+20xy^2+25y^4)

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factor 64x^3-125y^6

factor

64 x^{3} - 125 y^{6}

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

Solution steps

64 x^{3} - 125 y^{6}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

∣ 3 - 3 x ∣ \leq 3

4 x^{2} + 31 x + 42 = 0

\frac{8}{9} - \frac{2}{3}

9 x - 15 = 75

0.2 p + 2.4 = 1.6 p - 1.2 + 0.6 p

What is factor 64x^3-125y^6 ?
The solution to factor 64x^3-125y^6 is (4x-5y^2)(16x^2+20xy^2+25y^4)