Which of the following steps in this proof contains a flaw?
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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 \(a^4-a^5\)?
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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 :-)
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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
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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?
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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...
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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=
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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
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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?
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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!
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