Question 151461


{{{(e+3)^2}}} Start with the given expression.



{{{(e+3)(e+3)}}} Expand. Remember something like {{{x^2=x*x}}}.



Now let's FOIL the expression.



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



{{{(highlight(e)+3)(highlight(e)+3)}}} Multiply the <font color="red">F</font>irst terms:{{{(e)*(e)=e^2}}}.



{{{(highlight(e)+3)(e+highlight(3))}}} Multiply the <font color="red">O</font>uter terms:{{{(e)*(3)=3*e}}}.



{{{(e+highlight(3))(highlight(e)+3)}}} Multiply the <font color="red">I</font>nner terms:{{{(3)*(e)=3*e}}}.



{{{(e+highlight(3))(e+highlight(3))}}} Multiply the <font color="red">L</font>ast terms:{{{(3)*(3)=9}}}.



{{{e^2+3*e+3*e+9}}} Now collect every term to make a single expression.



{{{e^2+6*e+9}}} Now combine like terms.



So {{{(e+3)^2}}} FOILS to {{{e^2+6*e+9}}}.



In other words, {{{(e+3)^2=e^2+6*e+9}}}.