Answer:
The value of B is 2.
Explanation:
The given trinomial is

Taking out the GCF.

The middle term can be written as -8xy+2xy.



The factored form of the given trinomial is 2(x-8y)(x+2y). The given factored form of the trinomial is 2(x − 8y)(x + By). Equate both factored form.

On comparing both the sides we get

Therefore the value of B is 2.