Question 605889


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



Now let's FOIL the expression.



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



{{{(highlight(x)-7)(highlight(x)-7)}}} Multiply the <font color="red">F</font>irst terms:{{{(x)*(x)=x^2}}}.



{{{(highlight(x)-7)(x+highlight(-7))}}} Multiply the <font color="red">O</font>uter terms:{{{(x)*(-7)=-7x}}}.



{{{(x+highlight(-7))(highlight(x)-7)}}} Multiply the <font color="red">I</font>nner terms:{{{(-7)*(x)=-7x}}}.



{{{(x+highlight(-7))(x+highlight(-7))}}} Multiply the <font color="red">L</font>ast 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.



So {{{(x-7)(x-7)}}} FOILs to {{{x^2-14x+49}}}.



In other words, {{{(x-7)(x-7)=x^2-14x+49}}} for all values of x.