Question

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

Answer 1

Answer:

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

Step-by-step 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.

Answer 2

Answer:

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

Step-by-step 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