Darryl is finding the product of -5y(-4y^3+6y^2-5) Is he correct? If not, what changes should be made?

A. Yes, Darryl’s work is correct.

Step-by-step explanation:

-5y(-4y^3 + 6y^2 -5)

Darryl used distributive property
Where the outside number (-5y) is being multiplied by all of the numbers in parentheses

-5y • -4y^3 = 20y^4

Two negative numbers multiplied makes a positive number and an extra y on -5y makes y^4

-5y • 6y^2 = -30y^3

Since -5y is being multiplied by a positive number, the product becomes negative. Extra y^3 comes from the y in -5

-5y • -5 = 25y

Two negatives are being multiplied causing the product to be a positive number and keeping the variable the same value.

Finally, add all of the results!

20y^4 + -30y^3 + 25y =
20y^4 - 30y^3 + 25y

They are somewhat similar