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Mathematics 6 Online
OpenStudy (anonymous):

can someone please help me with these equations

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

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

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?

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: \[\frac{4f^{6}g^{2}}{16g^{3}}=\frac{f^{6}}{4g}\]

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

OpenStudy (kropot72):

You can tag me if I'm logged in :)

OpenStudy (anonymous):

ok thanxx :)

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