Respuesta :
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).
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