What is the product of a+3 and -2a2+15a+6b2

The third option

Step-by-step explanation:

Given

(a + 3)(- 2a² + 15a + 6b²)

Each term in the second factor is multiplied by each term in the first factor, that is

a(- 2a² + 15a + 6b²) + 3(- 2a² + 15a + 6b²) ← distribute both parenthesis

= - 2a³ + 15a² + 6ab² - 6a² + 45a + 18b² ← collect like terms

= - 2a³ + 9a² + 45a + 6ab² + 18b² → C

-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.

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step-by-step explanation:

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: