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Mathematics 8 Online
OpenStudy (nincompoop):

factor

OpenStudy (nincompoop):

\[G \frac{ Mm }{ x^2 }-G \frac{ Lm }{(C- x)^2 }\]

OpenStudy (anonymous):

factor after taking common terms out..

OpenStudy (nincompoop):

IDK how

OpenStudy (anonymous):

G G G G G G G

OpenStudy (nincompoop):

haha

OpenStudy (anonymous):

Common term :d

OpenStudy (nincompoop):

x and m too!

OpenStudy (aravindg):

m is also common

OpenStudy (anonymous):

Was going to say m haha.

OpenStudy (aravindg):

x? :O

ganeshie8 (ganeshie8):

you want to factor for solving x ?

ganeshie8 (ganeshie8):

if so, u may use quadratic formula after pulling out GCF

ganeshie8 (ganeshie8):

\[G \frac{ Mm }{ x^2 }-G \frac{ Lm }{(C- x)^2 } = \dfrac{Gm}{x^2(C-x)^2}\left(M(C-x)^2 - x^2L \right)\]

ganeshie8 (ganeshie8):

oh save the quadratic formula, we use the identity : \(a^2 - b^2 = (a+b)(a-b)\)

ganeshie8 (ganeshie8):

\[G \frac{ Mm }{ x^2 }-G \frac{ Lm }{(C- x)^2 } = \dfrac{Gm}{x^2(C-x)^2}\left(M(C-x)^2 - x^2L \right) \\ = \dfrac{Gm}{x^2(C-x)^2}\left( \sqrt{M}(C-x) + x\sqrt{L}\right)\left( \sqrt{M}(C-x) - x\sqrt{L} \right)\]

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