Answer:
-2a³+ 9a² + 45a +6ab² + 18b².
Step-by-step explanation:
Given : a+3 and -2a²+15a+6b².
To find : what is the product.
Solution : We have given
(a+3)( -2a²+15a+6b²).
Distributes a over (-2a²+15a+6b²) and 3 over (-2a²+15a+6b²).
a (-2a²+15a+6b²) + 3 ( -2a²+15a+6b²).
-2a³+15a²+6ab² - 6a²+ 45a + 18b².
Combine like terms
-2a³- 6a² + 15a² + 45a +6ab² + 18b².
-2a³+ 9a² + 45a +6ab² + 18b².
Therefore, -2a³+ 9a² + 45a +6ab² + 18b².
