Question 184225


{{{(m+6)(m+9)}}} Start with the given expression.



Now let's FOIL the expression.



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



{{{(highlight(m)+6)(highlight(m)+9)}}} Multiply the <font color="red">F</font>irst terms:{{{(m)*(m)=m^2}}}.



{{{(highlight(m)+6)(m+highlight(9))}}} Multiply the <font color="red">O</font>uter terms:{{{(m)*(9)=9*m}}}.



{{{(m+highlight(6))(highlight(m)+9)}}} Multiply the <font color="red">I</font>nner terms:{{{(6)*(m)=6*m}}}.



{{{(m+highlight(6))(m+highlight(9))}}} Multiply the <font color="red">L</font>ast terms:{{{(6)*(9)=54}}}.



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So we have the terms: {{{m^2}}}, {{{9*m}}}, {{{6*m}}}, and {{{54}}} 



{{{m^2+9*m+6*m+54}}} Now collect every term listed above to make a single expression.



{{{m^2+15*m+54}}} Now combine like terms.



So {{{(m+6)(m+9)}}} FOILs to {{{m^2+15*m+54}}}.



In other words, {{{(m+6)(m+9)=m^2+15*m+54}}}.