Question

What is the product of (3a + 2)(4a2 – 2a + 9)? 12a3 − 2a + 18 12a3 + 6a + 9 12a3 − 6a2 + 23a + 18 12a3 + 2a2 + 23a + 18

Answer 1

Answer:

12a3 + 2a2 + 23a + 18

Step-by-step explanation:

Vertical multiplication works well when you have a binomial times a trinomial.

Multiply 2 times the trinomial and get 8a2 - 4a + 18 then multiply 3a times the trinomial to get 12a3. -6a2 + 27a

Then combine like terms.

Answer 2

The product of the givens expressions is 12a³ + 2a² + 23a + 18.

Product of the given expressions

The product of the givens expressions is obtained by multiplying all the variables in the bracket as shown below.

(3a + 2)(4a² – 2a + 9) = 3a(4a² – 2a + 9) + 2(4a² – 2a + 9)

= 12a³ - 6a² + 27a + 8a² - 4a + 18

simplify by collecting similar terms together

= 12a³ + 2a² + 23a + 18

Thus, the product of the givens expressions is 12a³ + 2a² + 23a + 18.

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