Question

What is the product of 3a + 5 and 2a2 + 4a - 2?​

Answer 1

6a^3 + 22a^2 - 6a - 10

Explanation:

(3a + 5)(2a^2 + 4a - 2)

distribute 3a

6a^3 + 12a^2 - 6a

distribute 5

10a^2 + 20a - 10

combine like terms/simpify

6a^3 + 22a^2 - 6a - 10

Answer 2

6a^3 + 22a^2 +14a-10

Explanation:

Hi, to solve this you have to apply the distributive porperty:

So:

`(3a +5)x ( 2a^(2) +4a -2)\\6a ^(3) +12a^(2) -6a + 10a^(2) +20a^(2) -10\\\\`

Then, combine like terms and solve using addition or subtraction:

`6a^(3) +12a^(2) +10a^(2) +20a-6a-10\\6a^(3) +22a^(2) +12a-10`

In conclusion the product is 6a^3 + 22a^2 +14a-10.

Feel free to ask for more if it´s necessary or if you did not understand something.