Question

Find the product. -1/2 y(2y 3 - 8) A. -y 4 + 4y B. y 4 + 4y C.-2y 3 + 4

Answer 1

Answer: Option A.

Explanation:

To find the product you need to multiplicate
`-(1)/(2)y` by
`(2y^3-8)`

Apply Distributive property.

Remember the Product of powers property:

`(b^a)(b^c)=b^((a+c))`

Remember the multiplication of signs:

`(-)(-)=+\\(+)(+)=+\\(-)(+)=-`

Then the product is:

`-(1)/(2)y(2y^3-8)=-(2)/(2)y^4+(8)/(2)=-y^4+4`

Option A is the correct answer.