- anonymous

PLEASE HELP WILL MEDAL AND FAN!

- jamiebookeater

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- anonymous

##### 1 Attachment

- anonymous

tHATS IS THE QUESTION AND ANSWERS

- SolomonZelman

no, not D.

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## More answers

- SolomonZelman

f\(^9\)÷f\(^3\)=f\(^6\)
h\(^{23}\)÷h\(^{17}\)=h\(^6\)
but why are your Fs and Gs on the bottom tho?

- anonymous

So the answer is C?

- SolomonZelman

Yes

- anonymous

Can you help me with 1 more?

- SolomonZelman

Yes, if I wont have to leave (no apostrophe on Italian keyboard)

- anonymous

If (9x − 4)(9x + 4) = ax^2 − b, what is the value of a?
The value of a is ___________.
Numerical Answers Expected!
Answer for Blank 1:
|dw:1439478888532:dw|

- SolomonZelman

(a-b)•(a+b)=a²-b²

- SolomonZelman

do the same when your a is 9x and b is 4

- mathstudent55

\(\Large \dfrac{a^m}{a^n} = a^{m - n} \)
\(\Large \dfrac{f^9h^{23}}{f^3h^{17}} = f^{9 - 3}h^{23 - 17} = f^6 h^6 \)

- SolomonZelman

and then compare your simplified result to ax²-b

- anonymous

Thank you @mathstudent55 but i already have the answer to that.

- anonymous

Opps @SolomonZelman

- SolomonZelman

my last 3 posts (not incl. this one) are meant for the second question.

- SolomonZelman

sol... i dont mind

- anonymous

Solomon actually the B isn't squared.

- SolomonZelman

B isnt squared?

- anonymous

Nope just like this:
\[(9x − 4)(9x + 4) = ax^2 − b\]

- SolomonZelman

yes...

- SolomonZelman

when I square the b it is just part of the formula of difference of squares

- anonymous

Oh okay lol. ʕ·ᴥ·ʔ

- SolomonZelman

i can use any variable for this formula:
When I said
(a-b)•(a+b)=a²-b²
i could have said also
(x-y)•(x+y)=x²-y²
where x and y are just any thing in general (and so was "b" when i posted it, any thing in general, and not that particular b that you had in "ax²-b"

- SolomonZelman

in any case,
you know that (9x+4)(9x-4)
is the product that gievs you the area of the region. Right?

- anonymous

Yes correct.

- SolomonZelman

and you are given that the area of the region is ax²-b

- SolomonZelman

therefore
(9x+4)(9x-4)=ax²-b

- SolomonZelman

by the rule of the "difference of square"
it follws that:
(9x)² - (4)² =ax²-b

- SolomonZelman

simplify the left side, and then the value of a should be easy.

- SolomonZelman

(9x)²=9²•x²=81x²
right?

- SolomonZelman

(9x+4)(9x-4)=ax²-b
(9x)² - (4)² =ax²-b
81x² - 16 =ax²-b

- SolomonZelman

compare the coefficients, so a is?

- anonymous

81?

- SolomonZelman

yes

- anonymous

Thats my answer?

- SolomonZelman

yes

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