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Mathematics 16 Online
OpenStudy (anonymous):

factor 294-6x^2

OpenStudy (lgbasallote):

hmmm..when you see these kinds of problem...like you see a square and a minus sign...the first thing that shoudl come to your head is (a+b)(a-b) = a^2 - b^2...but 6 isn't a perfect square...can you do something about it? :D

OpenStudy (anonymous):

no..i dk can you

OpenStudy (lgbasallote):

i'll factor out 6 so x^2 can be a perfect square :D try..

OpenStudy (radar):

LL5732, factor out the 6.

OpenStudy (anonymous):

2 and 3

OpenStudy (radar):

i meant to say factor out the 6.

OpenStudy (anonymous):

i dk im confused

OpenStudy (radar):

divide both terms by 6.

OpenStudy (anonymous):

is it 49-x^2

OpenStudy (radar):

Yes thats correct but don't forget the 6 6(49-x^2) Now you have the difference of two perfect squares that lgbasallote was pointing out to you. You can factor the difference of two squares Look at the earlier post that was submitted regarding that.

OpenStudy (radar):

I will repeat it here:\[a ^{2}-b ^{2}=(a+b)(a-b)\]

OpenStudy (anonymous):

thank you!

OpenStudy (radar):

In this case the two perfect squares are 49 and x^2

OpenStudy (anonymous):

got it! thanks

OpenStudy (radar):

O.K. The final answer should include the 6: 6(7+x)(7-x)

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