Question 507575

{{{(x+6)(x-6)}}} Start with the given expression.



Now let's FOIL the expression.



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



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



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



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



{{{(x+highlight(6))(x+highlight(-6))}}} Multiply the <font color="red">L</font>ast terms:{{{(6)*(-6)=-36}}}.



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So we have the terms: {{{x^2}}}, {{{-6*x}}}, {{{6*x}}}, {{{-36}}} 



{{{x^2-6*x+6*x-36}}} Now add every term listed above to make a single expression.



{{{x^2-36}}} Now combine like terms.



So {{{(x+6)(x-6)}}} FOILs to {{{x^2-36}}}.



In other words, {{{(x+6)(x-6)=x^2-36}}}.


Let me know if you need more help or if you need me to explain a step in more detail.
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Thanks,


Jim