Mathematics
6 Online
OpenStudy (anonymous):
can someone please help me with these equations
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OpenStudy (anonymous):
\[\frac{ 4f^{6}g^{2} }{ 16g^{3} }\]
OpenStudy (anonymous):
\[\frac{ x^{2}-36 }{ x^{2}-12x+36 }\]
OpenStudy (anonymous):
i need to symplify them
OpenStudy (kropot72):
\[\frac{4f ^{6}g ^{2}}{16g ^{3}}\]
I suggest that you divide the numerator and the denominator by 4g^2. Can you do that?
OpenStudy (anonymous):
huh but there is no 4g^2
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OpenStudy (anonymous):
|dw:1383269980949:dw|
OpenStudy (anonymous):
im sorry i dont understand
OpenStudy (kropot72):
The numerator is 4f^6g^2. Can you see the term 4g^2 in the numerator?
OpenStudy (anonymous):
and thank you @pradiv
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
do they have to be close together?
OpenStudy (kropot72):
No. 4f^6g^2 has exactly the same value as 4g^2f^6.
OpenStudy (anonymous):
ok
OpenStudy (kropot72):
So if you divide the numerator by 4g^2 what is the result?
\[\frac{4f^{6}g^{2}}{4g^{2}}=?\]
OpenStudy (anonymous):
f^6?? cause the rest cancle the 4 and 4 cancel and the g^2?
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OpenStudy (kropot72):
Good work!! Now looking at the denominator and dividing it by 4g^2, what is the result?
\[\frac{16g^{3}}{4g^{2}}=?\]
OpenStudy (anonymous):
4 because g^2 cancels ?
OpenStudy (kropot72):
You are correct that the 4 cancels. However g^3/g^2 = g. Do you follow?
OpenStudy (anonymous):
oh sorry i thought that said g^2 on both
OpenStudy (kropot72):
No worries. So we have found that the expression can be simplified to give the following:
\[\frac{4f^{6}g^{2}}{16g^{3}}=\frac{f^{6}}{4g}\]
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OpenStudy (anonymous):
ok got it
OpenStudy (kropot72):
Well done :)
OpenStudy (anonymous):
thank you so much
OpenStudy (kropot72):
You're welcome :)
OpenStudy (anonymous):
if i have anymore can i tag you on a new one? or mail you ? anything that suits u better
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OpenStudy (kropot72):
You can tag me if I'm logged in :)
OpenStudy (anonymous):
ok thanxx :)