Question

The product of a + 3b and –a2 + 4ab + 2b is –a3 + xa2b + 2ab + 12ab2 + yb2. What are the values of x and y in the expression?

Answer 1

X=1 y=6

hope this helps i just took the test!

Answer 2

First, we multiply the given expressions:
(a + 3b) (-a² + 4ab + 2b)
= -a³ + 4a²b + 2ab - 3a²b + 12ab² + 6b²
Simplifying:

-a³ + a²b + 2ab + 12ab² + 6b²

By comparison, we can determine the values of x and y, which work out to be:
x = 1
b = 6