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OpenStudy (anonymous):
Help.
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OpenStudy (anonymous):
12x^2 - 147
OpenStudy (anonymous):
@ParthKohli
Parth (parthkohli):
Seems like you can't do much with it, but you still can.
Parth (parthkohli):
\[12x^2 = (3 \times 2^2)x^2\]and\[147 = (3\times 7^2)\]So you have\[(2x\sqrt{3})^2 - (7\sqrt{3})^2 \]
Parth (parthkohli):
Now if you ask me, it's not a proper way of factoring with irrational coefficients. But if you do want to, go ahead.
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OpenStudy (anonymous):
is there another way?
Parth (parthkohli):
That's the only way :-|
OpenStudy (anonymous):
and based on your way what would you say is the answer? BTW i know the answer so yeah.
Parth (parthkohli):
\[(2x\sqrt{3} + 7\sqrt{3}) (2x\sqrt{3} - 7\sqrt 3)\]\[= \left((2x + 7)\sqrt{3}\right)\left((2x - 7)\sqrt{3}\right)\]\[= 3(2x + 7)(2x - 7)\]lol wait
Parth (parthkohli):
I have another method
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Parth (parthkohli):
Factor out a 3
Parth (parthkohli):
That's it, just factor out a 3. I was making things too complicated. Sorry
Parth (parthkohli):
\[3(4x^2 - 49) = 3\left((2x + 7)(2x - 7)\right) = 3(2x + 7)(2x - 7)\]
Parth (parthkohli):
I'm sorry again :-(
OpenStudy (anonymous):
ok got it :)
thank you :D
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OpenStudy (anonymous):
yeah i did that method since it was easier, i was like @ParthKohli said there was no other option :/ lol
Parth (parthkohli):
Sorry haha
OpenStudy (anonymous):
thank you once again :D
Parth (parthkohli):
Heh
OpenStudy (anonymous):
your a big help.
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OpenStudy (anonymous):
:-)
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