Respuesta :

msm555

Answer:

16x³-128y³

2((2x)³-(4y)³)

2(2x-4y)(4x²+8xy+16y²)

2×2×4(x-2y)(x²+2xy+4y²)

16(x-2y)(x²+2xy+4y²)

is your answer in factor form.

The required factor is given by 16(x-2y)(x²+2xy+4y²)

What is factor?

factors can be defined as the the numbers that multiply to give that number.

Factorization
It follow the
a^3-b^3 = (a-b)(a^2+ab+b^2)


[tex]16x^3-128y^3\\16(x^3-(2y)^3)\\16(x-2y)(x^2+2xy+4y^2)[/tex]

Thus the required  factor is given by 16(x-2y)(x²+2xy+4y²).

Learn more about factors here:
https://brainly.com/question/24182713

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