Question 148775


{{{(x+9)(x-4)}}} Start with the given expression



Now let's FOIL the expression




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



{{{(highlight(x)+9)(highlight(x)-4)}}} Multiply the <font color="red">F</font>irst terms:{{{(x)*(x)=x^2}}}



{{{(highlight(x)+9)(x+highlight(-4))}}} Multiply the <font color="red">O</font>uter terms:{{{(x)*(-4)=-4x}}}



{{{(x+highlight(9))(highlight(x)-4)}}} Multiply the <font color="red">I</font>nner terms:{{{(9)*(x)=9x}}}



{{{(x+highlight(9))(x+highlight(-4))}}} Multiply the <font color="red">L</font>ast terms:{{{(9)*(-4)=-36}}}



{{{x^2-4x+9x-36}}} Now collect every term to make a single expression




{{{x^2+5x-36}}} Now combine like terms



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Answer:

So {{{(x+9)(x-4)}}} foils and simplifies to  {{{x^2+5x-36}}}


In other words, {{{(x+9)(x-4)=x^2+5x-36}}}