Question 64392
The given expressions are: 


{{{2x^3 - 3x^4 + 2x^3}}}    &   {{{25m^5 - 50m^4 - 100m^3}}}


The first expression can be written as: 



{{{x^3(2 - 3x + 2)}}}  


Here we take {{{x^3}}} as the highest common factor for the entire expression. 


So this implies: 


{{{x^3(4 - 3x)}}}


On applying Distributive property to the above expression, we get: 


{{{4x^3 - 3x^4}}} which is nothing but the given expression itself.


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The second expression is: 


{{{25m^5 - 50m^4 - 100m^3}}} 


Here in the above expression, we take {{{25m^3}}} as the highest common factor.


Hence, we get: 


{{{25m^3(m^2 - 2m - 4)}}} 


Applying Distributive property, we get: 


{{{25m^5 - 50m^4 - 100m^3}}}


Hence, the solution. 


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Thus, the solution for the given expressions are: 


{{{x^3(4 - 3x)}}} 


{{{25m^3(m^2 - 2m - 4)}}}




Regards,

Chitra


HAPPY CALCULATING!!!!