In this problem, what are the steps I need to use? Please help. (8x+5)(2x^2+9x+5)

- anonymous

In this problem, what are the steps I need to use? Please help. (8x+5)(2x^2+9x+5)

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- anonymous

(8x+5)(2x^2+9x+5)=
18x^3+72x^2+40x+10x^2+45x+25=
18x^3+82x^2+85x+25

- anonymous

are these the steps I need to take? or is it the answer?

- myininaya

\[(8x+5)(2x^2+9x+5)=8x(2x^2+9x+5)+5(2x^2+9x+5)\]

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## More answers

- myininaya

\[=8x(2x^2)+8x(9x)+8x(5)+5(2x^2)+5(9x)+5(5)\]

- myininaya

Do you see what I did so far?

- anonymous

I do.

- myininaya

Great!
Now it is just matter of using law of exponents and the fact that multiplication is commutative

- anonymous

Yes. It is the answer

- myininaya

and also associative
\[=8(2)x(x^2)+8(9)x(x)+8(5)x+6(2)x^2+5(9)(x)+5(5)\]

- anonymous

oh ok...

- myininaya

\[=16x^{2+1}+72x^{1+1}+40x+12x^2+45x+25\]

- anonymous

Oh wow, that last one looks confusing.

- myininaya

You don't have to do that step
I was just trying to use some basic rules

- myininaya

\[=16x^3+72x^2+40x+12x^2+45x+25\]
Combine like terms
and you will be done

- myininaya

But if you need me to go over that step with you again I will

- myininaya

\[=8x(2x^2)+8x(9x)+8x(5)+5(2x^2)+5(9x)+5(5) \]
This was the expression I had before I made it confusing for you I think right?

- anonymous

so we are combining like terms for the last step?

- myininaya

Yes! :)

- anonymous

Yes that was before it got confusing.

- anonymous

Ok so let me give this a shot then.

- myininaya

Ok...I will give you some time to yourself
and say something when you want me to come back k?

- anonymous

which one are we combining like terms for so I can make sure I have the right one wrote down.

- myininaya

\[=16x^3+72x^2+40x+12x^2+45x+25 \]

- anonymous

Ok i had the wrong one...give me a minute let me see what I get..

- anonymous

I am not so sure I got it right, but here is what I got. 185x^9+25

- myininaya

Oh no that is not right

- anonymous

Ok I didn't think so. I am not good at this stuff...

- myininaya

like terms are terms with the same variable part

- anonymous

Ok by variable you mean the "x" right?

- myininaya

You want to look for all the terms with x^3 (and add those together)
Then you want to look for all terms with x^2 (and add those together)
Then you want to look for all terms with x (and add those together)
And add any constant terms that are remaining together

- anonymous

Oh oK...trying again.

- myininaya

Ok go you! You can do it! :)

- anonymous

Ok trying again.

- anonymous

16x^3+84x^2+85x+25

- myininaya

+10000 points :)
Good job!

- anonymous

THANK YOU for showing me how to work it out!!!!!

- myininaya

But wait

- myininaya

I think I made a typing error above k?

- anonymous

ok...

- myininaya

\[=8x(2x^2)+8x(9x)+8x(5)+5(2x^2)+5(9x)+5(5) \]
We had this and I accidentally wrote
\[=8(2)x(x^2)+8(9)x(x)+8(5)x+6(2)x^2+5(9)(x)+5(5) \]
See how that one number changed from a 5 to a 6
my bad :(

- myininaya

\[=16x^3+72x^2+40x+10x^2+45x+25\]

- anonymous

Ok so need to try it again right? will make the answer different.

- myininaya

yes it will and sorry about that

- anonymous

Not a problem it happens. I got 16x^3+82x^2+85x+25

- myininaya

Bingo! Now you can take the points and be happy. lol

- anonymous

Thank You so much! Your a lot more patient than some of these people on here, and I like being showed how its worked out and not having the answer just given to me! Thanks again!!

- myininaya

You are totally welcome! :) I like people who want to learn the material so you are really awesome! Go you!
Have a good night!

- anonymous

You too!

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