Question 161473


{{{(5x-6)(5x-6)}}} Start with the given expression.



Now let's FOIL the expression.



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



{{{(highlight(5x)-6)(highlight(5x)-6)}}} Multiply the <font color="red">F</font>irst terms:{{{(5*x)*(5*x)=25*x^2}}}.



{{{(highlight(5x)-6)(5x+highlight(-6))}}} Multiply the <font color="red">O</font>uter terms:{{{(5*x)*(-6)=-30*x}}}.



{{{(5x+highlight(-6))(highlight(5x)-6)}}} Multiply the <font color="red">I</font>nner terms:{{{(-6)*(5*x)=-30*x}}}.



{{{(5x+highlight(-6))(5x+highlight(-6))}}} Multiply the <font color="red">L</font>ast terms:{{{(-6)*(-6)=36}}}.



{{{25*x^2-30*x-30*x+36}}} Now collect every term to make a single expression.



{{{25*x^2-60*x+36}}} Now combine like terms.



So {{{(5x-6)(5x-6)}}} FOILs to {{{25*x^2-60*x+36}}}.



In other words, {{{(5x-6)(5x-6)=25*x^2-60*x+36}}}.