Final answer:
The factored form of the binomial expansion 16x^4 + 480x^3y + 5,400x^2y^2 + 27,000xy^3 + 50,625y^4 is 16(x^4 + 30x^3y + 337.5x^2y^2 + 1,687.5xy^3 + 3,164.0625y^4).
Step-by-step explanation:
The given expression is 16x4 + 480x3y + 5,400x2y2 + 27,000xy3 + 50,625y4.
To find the factored form, we need to identify any common factors among the terms.
In this case, we can factor out the common factor of 16, which gives us:
16(x4 + 30x3y + 337.5x2y2 + 1,687.5xy3 + 3,164.0625y4).
So, the factored form of the binomial expansion is 16(x4 + 30x3y + 337.5x2y2 + 1,687.5xy3 + 3,164.0625y4).