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

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AI Thread Summary
To derive Equation 2 from Equation 1, the transformation involves simplifying the expression F(1 - (m1/(m1 + m2))). This can be achieved by rewriting it as F((m1 + m2 - m1)/(m1 + m2)), which simplifies to F(m2/(m1 + m2)). The process is straightforward and relies on basic algebraic manipulation. The final result confirms the relationship between the two equations. Understanding these steps clarifies the derivation process in physics problems involving forces.
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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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