Question 145202



{{{(x+6)(x-2)}}} To find the area, simply multiply the given sides {{{x+6}}} and {{{x-2}}}



Now let's FOIL the expression




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



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



{{{(highlight(x)+6)(x+highlight(-2))}}} Multiply the <font color="red">O</font>uter terms:{{{(x)*(-2)=-2x}}}



{{{(x+highlight(6))(highlight(x)-2)}}} Multiply the <font color="red">I</font>nner terms:{{{(6)*(x)=6x}}}



{{{(x+highlight(6))(x+highlight(-2))}}} Multiply the <font color="red">L</font>ast terms:{{{(6)*(-2)=-12}}}



{{{x^2-2x+6x-12}}} Now collect every term to make a single expression




{{{x^2+4x-12}}} Now combine like terms



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Answer:

So {{{(x+6)(x-2)}}} foils and simplifies to  {{{x^2+4x-12}}}


In other words, {{{(x+6)(x-2)=x^2+4x-12}}}




So the area is {{{x^2+4x-12}}}