Answer:
A. Yes, Darryl’s work is correct.
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