Question

What is the product of (3a + 2)(4a2 – 2a + 9)?

Answer 1

12*a^3 -6a^2 + 27a + 8a^2 -4*a +18 =
12*a^3 +2*a^2+23*a +18

Answer 2

`12a^3 + 2a^2 + 23a +18`

Explanation:

Given: We have given two expressions: (3a + 2) and
`(4a^2 - 2a + 9)`

We have to find the product of these expressions.

(3a + 2)(
`4a^2 -2a + 9)`

Now we have to use the distributive a(b + c) = a.c + a.c

3a(
`4a^2 -2a + 9) + 2(4a^2 -2a + 9)`

=
`12a^3 - 6a^2 + 27a + 8a^2 - 4a + 18`

Now we can combine the like terms and simplify.

=
`12a^3 -6a^2 + 8a^2 + 27a - 4a + 18` [-6a^2 + 8a^2 = 2a^2]

=
`12a^3 + 2a^2 + 23a + 18` [27a -4a = 23a]