Question 207002

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



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



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



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



{{{(y+highlight(-7))(y+highlight(-7))}}} Multiply the <font color="red">L</font>ast terms:{{{(-7)*(-7)=49}}}.



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So we have the terms: {{{y^2}}}, {{{-7*y}}}, {{{-7*y}}}, {{{49}}} 



{{{y^2-7*y-7*y+49}}} Now add every term listed above to make a single expression.



{{{y^2-14*y+49}}} Now combine like terms.



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



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