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

User Stanko
by
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2 Answers

5 votes
12*a^3 -6a^2 + 27a + 8a^2 -4*a +18 =
12*a^3 +2*a^2+23*a +18
User Black Dynamite
by
6.9k points
3 votes

Answer:


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]

User Prakash Darji
by
7.2k points