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Mathematics 16 Online
OpenStudy (lovelyanna):

Which of the following steps in this proof contains a flaw?

OpenStudy (lovelyanna):

OpenStudy (lovelyanna):

A. Step 2 (subtracted wrong expression) B. Step 4 (not a difference of squares) C. Step 5 (wrong factors) D. Step 3 (factored incorrectly)

OpenStudy (lovelyanna):

@bibby

OpenStudy (lovelyanna):

@whpalmer4

OpenStudy (whpalmer4):

What does \(a^3=\) Does that appear in \(a^4-a^5\)?

OpenStudy (lovelyanna):

I figured this one out, its D. Thanks :) One more question, I think I know it! I'm in a hurry tho :(

OpenStudy (whpalmer4):

D is correct, good job!

OpenStudy (lovelyanna):

Which of the following steps in this proof contains a flaw?

OpenStudy (lovelyanna):

I cant seem to get the attachment O.O

OpenStudy (whpalmer4):

Type quickly :-)

OpenStudy (whpalmer4):

Can you do a screen capture?

OpenStudy (lovelyanna):

Its pretty long O.O

OpenStudy (lovelyanna):

I'll try!

OpenStudy (whpalmer4):

I'll be back if you post something...

OpenStudy (lovelyanna):

ok, thanks

OpenStudy (lovelyanna):

OpenStudy (lovelyanna):

@whpalmer4

OpenStudy (lovelyanna):

I think its C?

OpenStudy (whpalmer4):

No, \[a^4(1-a^2)=a^4*1-a^4*a^2=a^4-a^6\]

OpenStudy (whpalmer4):

What is the rule for doing exponents in division?

OpenStudy (lovelyanna):

I'm confused

OpenStudy (whpalmer4):

\[\frac{x^m}{x^n}=\]

OpenStudy (lovelyanna):

umm, \[x^m\]?

OpenStudy (whpalmer4):

\[\frac{x^m}{x^n}=x^{m-n}\]

OpenStudy (lovelyanna):

Oh...

OpenStudy (whpalmer4):

That's a big hint :-)

OpenStudy (lovelyanna):

Oh, the bottom one it n, I didn't see it O.O

OpenStudy (lovelyanna):

So, how do I solve the question?

OpenStudy (whpalmer4):

Look carefully at the work in step 2.

OpenStudy (whpalmer4):

4+6-5=

OpenStudy (lovelyanna):

Still confusing...

OpenStudy (lovelyanna):

5

OpenStudy (lovelyanna):

Is it A O.O

OpenStudy (whpalmer4):

How do you handle exponents when multiplying two exponential s with the same base? You add them right? So we add 4+6=10. Then for division, we subtract, so 10-5=5. But the idiot doing the proof thought it gave him \(a^6\) :-)

OpenStudy (lovelyanna):

You mean its step 2? but its not in the choices O.O

OpenStudy (whpalmer4):

Yes it is, it's choice A, the mistake is made in step 3 evaluating what the result of step 2 is...

OpenStudy (lovelyanna):

@whpalmer4 I dont get this D: And I need to go in a bit...

OpenStudy (lovelyanna):

oh, ok. thanks!

OpenStudy (whpalmer4):

Multiplying both sides by a^6 in step 2 is fine. It's in step 3 deciding that the left side is a^6 that is wrong.

OpenStudy (lovelyanna):

check last one?

OpenStudy (whpalmer4):

Sure, if you want...do you want? :-)

OpenStudy (lovelyanna):

OpenStudy (lovelyanna):

I think its B, but not sure

OpenStudy (lovelyanna):

Correct?

OpenStudy (lovelyanna):

@whpalmer4 I hate to rush you.. but I'm really in a hurry!

OpenStudy (whpalmer4):

Yep.

OpenStudy (lovelyanna):

ok, thanks! :-)

OpenStudy (whpalmer4):

You're welcome!

OpenStudy (lovelyanna):

Thanks soo much! I gtg now, good night!

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