Short answer. find the following product.(y^2-6y+8)(y+8)
please someone help me
(y^2 - 6y + 8) (y + 8)
y^3 + 8y^2 -6y^2 -48y + 8y + 64
Y^3 + y^2 - 40y + 64
To find the product of the given expressions (y^2-6y+8)(y+8), we can follow these steps:
1. Start by using the distributive property: Multiply each term in the first expression (y^2-6y+8) by each term in the second expression (y+8).
2. Multiply the first term of the first expression (y^2) with each term in the second expression (y+8):
- (y^2) * y = y^3
- (y^2) * 8 = 8y^2
3. Multiply the second term of the first expression (-6y) with each term in the second expression (y+8):
- (-6y) * y = -6y^2
- (-6y) * 8 = -48y
4. Multiply the third term of the first expression (8) with each term in the second expression (y+8):
- (8) * y = 8y
- (8) * 8 = 64
5. Now, combine the results of these multiplications:
- y^3 + 8y^2 - 6y^2 - 48y + 8y + 64
6. Simplify like terms:
- The y^3 term cannot be simplified further
- Combine the like terms for y^2: 8y^2 - 6y^2 = 2y^2
- Combine the like terms for y: -48y + 8y = -40y
7. The final expression is:
- y^3 + 2y^2 - 40y + 64