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

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

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factor 64x^3-125c^3

factor

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

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

Solution steps

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

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

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

x^{2} - 3 x - 1 > 0

3 (8 - x) = 15

(- 4)^{- 5}

u^{2} - 5 u + 4 = 0

15 x^{4} - 17 x^{2} - 4

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