Answer:
8x^2y(x^2 – 2y)
Step-by-step explanation:
Each term has factors of 2, x, and y. We want to remove the common factor that has the highest common power of each of these.
The powers of 2 in the two terms are 2^3 and 2^4, so 2^3 is a common factor.
The powers of x in the two terms are x^4 and x^2, so x^2 is a common factor.
The powers of y in the two terms are y^1 and y^2, so y^1 is a common factor.
Factoring out the common factor of 8x^2y, we have ...
8x^4y -16x^2y^2 = 8x^2y(x^2 -2y) . . . . . matches the first choice
