Find the product. Simplify your answer.


4y2(

4y2–5)

1 answer

To find the product \(-4y^2(-4y^2 - 5)\), we will distribute \(-4y^2\) to each term inside the parentheses.

  1. Multiply \(-4y^2\) by \(-4y^2\): \[ -4y^2 \cdot -4y^2 = 16y^4 \]

  2. Multiply \(-4y^2\) by \(-5\): \[ -4y^2 \cdot -5 = 20y^2 \]

Now, we combine both results: \[ 16y^4 + 20y^2 \]

Thus, the simplified product is: \[ \boxed{16y^4 + 20y^2} \]