a(b + c) - ab + c, (a^3 + ba)^2, (a + b) / a + 3ab - b / a

[usasoccernut]

Please help me with the following:

1) a(b + c) - ab + c =

2) (a^3 + ba)^2 =

3) (a + b) / a + 3ab - b / a =

 

[stapel]

It's unfortunate that your book did not provide any instructions for these exercises. Lacking that, I'm afraid there is no way to proceed.

By the way, your formatting on (3) is ambiguous. Do you mean any of the following?

. . . . .[(a + b) / a] + 3ab - [b/a]

. . . . .(a + b) / (a + 3ab) - (b / a)

. . . . .[(a + b) / a] + [(3ab - b) / a]

Or something else?

If you can get the intended instructions from your instructor, then please reply with that information, along with a clear listing of everything you have tried so far.

Thank you.

Eliz.

 

[usasoccernut]

For (3), I did mean "[(a+b)/a]+3ab-[b/a]". Sorry about that!

Do you think the following is right for (3)?

. . .[(a + b) / a] + 3ab - [b / a]

. . .= [(a/a) + (b/a)] + 3ab - [b/a]

. . .= [1 + b/a] + 3ab - [b/a]

. . .= 1+3ab

For (2):

. . .(a^3 + ba)^2 = a^6 + b^2*a^2

For (1):

. . .[a(b + c)] - ab + c

. . .= ab + ac - ab + c

. . .= ac + c

Is it more clear now? Thanks for your help!

 

[stapel]

Since we still don't know what the instructions might have been, I'm afraid there is no way to be sure whether or not you've completed the exercises as intended. Sorry.

Eliz.

 

[usasoccernut]

The instructions were to simplify the expressions as much as possible.

Thank you!

 

[stapel]

The instructions were to simplify the expressions as much as possible.

Thank you.

1) Simplify a(b + c) - ab + c

I agree with your answer.

2) Simplify (a³ + ba)²

I'm not sure how you arrived at your answer...? (FYI: This is why it is requested that students show their work.) But the squaring should have started as:

. . . . .(a³ + ba)(a³ + ba)

The answer should have contained terms in a⁶, ba⁴, and b²a², so a two-term answer is unlikely to be correct.

3) Simplify [(a + b) / a] + 3ab - [b / a]

I agree with your answer.

Eliz.

 

[usasoccernut]

For the second one, I am not sure if I can remove the parentheses from the expression "(a^3 + ba)(a^3 + ba).

Would the simplified form be "a^6 + b^2a^2"?

Thank you.

 

[usasoccernut]

SOMEONE PLEASE HELP

I am not sure what [(a^3)+(ba)]^2 is simplified

please respond quickly

thanks in advance soooo much

usasoccernut

 

[stapel]

SOMEONE PLEASE HELP

You've already received quite a lot of help, including an answer to your most recent question regarding exercise (2). It might be helpful if you started by reviewing the earlier posts, and replied to them. For instance, you should have already learned how to multiply polynomials, so you should be able to do that multiplication and show your working.

Also, if you are needing immediate and guaranteed replies, please contract with a paid service which offers such, since there is no paid FreeMathHelp staff waiting on-hand to provide instant answers. Users of this service should expect to wait hours, if not days, for an online response.

Thank you for your consideration.

Eliz.

 

[skeeter]

SOMEONE PLEASE HELP

I am not sure what [(a^3)+(ba)]^2 is simplified

please respond quickly

thanks in advance soooo much

usasoccernut

in my opinion, (a³ + ba)² is simplified as it is.

if the expression (a³ + ba)² is expanded, then it is the product ...

(a³ + ba)(a³ + ba) = a⁶ + 2a⁴b + a²b²

 

[stapel]

in my opinion, (a³ + ba)² is simplified as it is....

It surely would be nice if somebody would standardize the meaning of "simplify"!

Eliz.