Question 140005


{{{(z-8)(z+8)}}} Start with the given expression



Now let's FOIL the expression




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



{{{(highlight(z)-8)(highlight(z)+8)}}} Multiply the First terms:{{{(z)*(z)=z^2}}}



{{{(highlight(z)-8)(z+highlight(8))}}} Multiply the Outer terms:{{{(z)*(8)=8z}}}



{{{(z+highlight(-8))(highlight(z)+8)}}} Multiply the Inner terms:{{{(-8)*(z)=-8z}}}



{{{(z+highlight(-8))(z+highlight(8))}}} Multiply the Last terms:{{{(-8)*(8)=-64}}}



{{{z^2+8z-8z-64}}} Now collect every term to make a single expression




{{{z^2-64}}} Now combine like terms



---------------------

Answer:

So {{{(z-8)(z+8)}}} foils and simplifies to  {{{z^2-64}}}


In other words, {{{(z-8)(z+8)=z^2-64}}}