Factor the polynomial completely. 8x4y – 16x2y2
Question 5 options: 8x2y(x2 – 2y) 8x2(x2y – 2y2) x2y(8x2 – 16y) 8(x4y – 2x2y2)

  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

8x²y(x² - 2y)

Step-by-step explanation:

8x⁴y - 16x²y²

8x²y(x² - 2y)

step-by-step explanation:

i dont get

i dont know

step-by-step explanation: