What is factor 250x^3-128x^6 ?

The solution to factor 250x^3-128x^6 is -2x^3(4x-5)(16x^2+20x+25)

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factor 250x^3-128x^6

factor

250 x^{3} - 128 x^{6}

- 2 x^{3} (4 x - 5) (16 x^{2} + 20 x + 25)

Solution steps

250 x^{3} - 128 x^{6}

Write in the standard form

= - 128 x^{6} + 250 x^{3}

Factor out common term

2 x^{3} : 2 x^{3} (- 64 x^{3} + 125)

= 2 x^{3} (- 64 x^{3} + 125)

Factor

- 64 x^{3} + 125 : - (4 x - 5) (4^{2} x^{2} + 5 \cdot 4 x + 5^{2})

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

Simplify

- 2 x^{3} (4 x - 5) (4^{2} x^{2} + 5 \cdot 4 x + 5^{2}) : - 2 x^{3} (4 x - 5) (16 x^{2} + 20 x + 25)

= - 2 x^{3} (4 x - 5) (16 x^{2} + 20 x + 25)

(2 + 8)^{2}

\frac{5}{2} - x = 3 x

2 x - 5 = x^{2} - 4 x

e^{t} (e^{t})

(x + 3) (x - 3) = 16

What is factor 250x^3-128x^6 ?
The solution to factor 250x^3-128x^6 is -2x^3(4x-5)(16x^2+20x+25)