How Do I Derive Equation 2 from Equation 1 in Physics?

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SUMMARY

The discussion focuses on deriving Equation 2, \( \frac{m_2}{m_1 + m_2}F \), from Equation 1, \( F(1 - \frac{m_1}{m_1 + m_2}) \). The transformation involves simplifying the expression through basic algebraic manipulation. Specifically, the steps include rewriting Equation 1 to highlight the relationship between the masses \( m_1 \) and \( m_2 \), ultimately leading to the desired form. This process is confirmed to be a straightforward mathematical calculation.

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Homework Statement



This is in a written example of some lecture notes that I have.
Is in the middle of a question about the forces of contact between two blocks on a smooth table.
I don't need help with the rest of the question.

I just want to know how to get from equation 1 below to equation 2.
Is it some math shortcut that I am unaware of or am I missing out on some calculations


Homework Equations



F(1-(m1/m1+m2))

Goes to

(m2/m1+m2)F
 
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Don't worry, it's simple math calculation:##F(1-\frac{m_1}{m_1+m_2})=F(\frac{m_1+m_2-m_1}{m_1+m_2})=F(\frac{0+m_2}{m_1+m_2})##which then becomes:##F(\frac{m_2}{m_1+m_2})## or can be written as ##(\frac{m_2}{m_+m_2})F##
 
Thank you so much! :)
 

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