Question 117614


{{{(x-1/4)(x+1/4)}}} Start with the given expression


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



Multiply the First terms:{{{(x)*(x)=x^2}}}



Multiply the Outer terms:{{{(x)*(1/4)=(1/4)x}}}



Multiply the Inner terms:{{{(-1/4)*(x)=-(1/4)x}}}



Multiply the Last terms:{{{(-1/4)*(1/4)=-1/16}}}



{{{x^2+(1/4)x-(1/4)x-1/16}}} Now collect every term to make a single expression



{{{x^2+cross((1/4)x-(1/4)x)-1/16}}} Combine like terms




{{{x^2-1/16}}} Simplify



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Answer:

So {{{(x-1/4)(x+1/4)}}} foils and simplifies to  {{{x^2-1/16}}}


In other words, {{{(x-1/4)(x+1/4)=x^2-1/16}}}