Question

find the product. simplify your answer.
-2y(-2y² - 2)

Explanation:

Step1: Apply distributive property

We use the distributive property \(a(b + c)=ab+ac\), here \(a = - 2y\), \(b=-2y^{2}\), \(c = - 2\). So we have \(-2y\times(-2y^{2})+(-2y)\times(-2)\)

Step2: Multiply the coefficients and variables

For the first term: \(-2\times(-2)=4\), \(y\times y^{2}=y^{1 + 2}=y^{3}\), so the first term is \(4y^{3}\). For the second term: \(-2\times(-2) = 4\), and we have \(4y\). Then combine the two terms.

Answer:

\(4y^{3}+4y\)