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Mathematics 8 Online
OpenStudy (anonymous):

Help.

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.

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

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

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.

OpenStudy (anonymous):

:-)

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