What is factor 64x^3-125z^3 ?

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

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factor 64x^3-125z^3

factor

64 x^{3} - 125 z^{3}

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

Solution steps

64 x^{3} - 125 z^{3}

Apply exponent rules

= (4 x)^{3} - (5 z)^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

\frac{( x + 9 )}{( 9 ( x + 9 ) )}

(\frac{4 x ^{5}}{y ^{- 2}})^{- 2}

x^{4} + 15 x^{2} - 76

(- 2 y)^{2} \cdot 3 y^{4}

\frac{( x - 1 )}{( x )}

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