simplify the product
(5y+2) (2y^2 + y - 4)
10y^3 + 5y^2 - 20y + 4y^2 + 2y - 8
pls explain
To simplify the product (5y+2)(2y^2 + y - 4), we need to use the distributive property of multiplication over addition.
First, we distribute the 5y from the first bracket across the terms in the second bracket:
5y * 2y^2 = 10y^3
5y * y = 5y^2
5y * -4 = -20y
Next, we distribute the 2 from the first bracket across the terms in the second bracket:
2 * 2y^2 = 4y^2
2 * y = 2y
2 * -4 = -8
Now, we combine like terms to simplify the expression:
10y^3 + 5y^2 - 20y + 4y^2 + 2y - 8
Combine the like terms:
10y^3 + 5y^2 + 4y^2 - 20y + 2y - 8
10y^3 + 9y^2 - 18y - 8
Therefore, the simplified product of (5y+2)(2y^2 + y - 4) is 10y^3 + 9y^2 - 18y - 8.