Question 118524


{{{(x-10)(x+10)}}} Start with the given expression




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



{{{(highlight(x)-10)(highlight(x)+10)}}} Multiply the First terms:{{{(x)*(x)=x^2}}}



{{{(highlight(x)-10)(x+highlight(10))}}} Multiply the Outer terms:{{{(x)*(10)=10x}}}



{{{(x+highlight(-10))(highlight(x)+10)}}} Multiply the Inner terms:{{{(-10)*(x)=-10x}}}



{{{(x+highlight(-10))(x+highlight(10))}}} Multiply the Last terms:{{{(-10)*(10)=-100}}}



{{{x^2+10x-10x-100}}} Now collect every term to make a single expression




{{{x^2-100}}} Now combine like terms



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Answer:

So {{{(x-10)(x+10)}}} foils and simplifies to  {{{x^2-100}}}


In other words, {{{(x-10)(x+10)=x^2-100}}}