Mathematics
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OpenStudy (anonymous):
how do you solve [6y-(7x-2)][6y+(7x-2)]
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OpenStudy (anonymous):
why do i square it?
OpenStudy (anonymous):
You can treat it like a binomial difference of squares
(6y - a) (6y +a) where a = 7x-2
OpenStudy (anonymous):
what about the other side?
OpenStudy (anonymous):
I did wonder about "solve"...
OpenStudy (anonymous):
no it says find the product...
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OpenStudy (anonymous):
nvm thats simplify...
OpenStudy (anonymous):
but still, do i do the same thing on the other side?
OpenStudy (anonymous):
what other side?
OpenStudy (anonymous):
its [6y-(7x-2)][6y+(7x-2)]?
OpenStudy (anonymous):
OK, so there is just that, no sides....
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OpenStudy (anonymous):
and you want to multiply them together...
OpenStudy (anonymous):
i have to find the product, yes.
OpenStudy (anonymous):
Yes, that's the same thing.
The first post from Ryan is a good answer.
Are u expected to expand it all the way out.....?
OpenStudy (anonymous):
no i dont think so
OpenStudy (anonymous):
Then I would go with Ryan's answer.
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OpenStudy (anonymous):
so just 6y-a 6y+a?
OpenStudy (anonymous):
Hmm... he appears to have deleted his answer..
OpenStudy (anonymous):
so what do i do?
OpenStudy (anonymous):
It was (6y)^2 - (7x-2)^2 which u could write as
36y^2 - (7x-2)^2 if u wanted to.
OpenStudy (anonymous):
oh , alright
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OpenStudy (anonymous):
r u sure u are not expected to expand it all out?
OpenStudy (dumbcow):
\[(a+b)(a-b) = a^{2} - b^{2}\]
a=6y
b = 7x-2
OpenStudy (anonymous):
\[(a+b)(a-b)=a^2-b^2\] put
\[a=6y, b=7x-2\] get
\[(6y)^2-(72-2)^2\]
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
Ok, u r done, then.
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OpenStudy (anonymous):
\[(6y)^2-(7x-2)^2\]
OpenStudy (anonymous):
satallite where did 72 come from?
OpenStudy (anonymous):
Typo
OpenStudy (anonymous):
you can multiply out if you like. get
\[36y^2-(49x^2-28x+4)\]
OpenStudy (anonymous):
oh
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OpenStudy (anonymous):
Now we are repeating......