Question 125915


{{{(x-7)^2}}} Start with the given expression



{{{(x-7)(x-7)}}} 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(x)-7)(highlight(x)-7)}}} Multiply the First terms:{{{(x)*(x)=x^2}}}



{{{(highlight(x)-7)(x+highlight(-7))}}} Multiply the Outer terms:{{{(x)*(-7)=-7x}}}



{{{(x+highlight(-7))(highlight(x)-7)}}} Multiply the Inner terms:{{{(-7)*(x)=-7x}}}



{{{(x+highlight(-7))(x+highlight(-7))}}} Multiply the Last terms:{{{(-7)*(-7)=49}}}



{{{x^2-7x-7x+49}}} Now collect every term to make a single expression




{{{x^2-14x+49}}} Now combine like terms



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Answer:

So {{{(x-7)^2}}} foils and simplifies to  {{{x^2-14x+49}}}


In other words, {{{(x-7)^2=x^2-14x+49}}}