Question 117433

{{{(m-4n)(m-4n)}}} Start with the given expression


Remember, when you FOIL an expression, you follow this procedure:



Multiply the First terms:{{{(m)*(m)=m^2}}}



Multiply the Outer terms:{{{(m)*(-4n)=-4mn}}}



Multiply the Inner terms:{{{(-4n)*(m)=-4nm}}}



Multiply the Last terms:{{{(-4n)*(-4n)=16n^2}}}



{{{m^2-4mn-4nm+16n^2}}} Now collect every term to make a single expression




{{{m^2-8mn+16n^2}}} Now combine like terms



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Answer:

So {{{(m-4n)(m-4n)}}} foils and simplifies to  {{{m^2-8mn+16n^2}}}


In other words, {{{(m-4n)(m-4n)=m^2-8mn+16n^2}}}