Question 134304


{{{(3x-1)^2}}} Start with the given expression



{{{(3x-1)(3x-1)}}} Expand. Remember something like {{{x^2=x*x}}}



Now let's FOIL the expression




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



{{{(highlight(3x)-1)(highlight(3x)-1)}}} Multiply the First terms:{{{(3x)*(3x)=9x^2}}}



{{{(highlight(3x)-1)(3x+highlight(-1))}}} Multiply the Outer terms:{{{(3x)*(-1)=-3x}}}



{{{(3x+highlight(-1))(highlight(3x)-1)}}} Multiply the Inner terms:{{{(-1)*(3x)=-3x}}}



{{{(3x+highlight(-1))(3x+highlight(-1))}}} Multiply the Last terms:{{{(-1)*(-1)=1}}}



{{{9x^2-3x-3x+1}}} Now collect every term to make a single expression




{{{9x^2-6x+1}}} Now combine like terms



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Answer:

So {{{(3x-1)^2}}} foils and simplifies to  {{{9x^2-6x+1}}}


In other words, {{{(3x-1)^2=9x^2-6x+1}}}