Question 598345


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



Now let's FOIL the expression.



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



{{{(highlight(6x)-5)(highlight(6x)+5)}}} Multiply the <font color="red">F</font>irst terms:{{{(6*x)*(6*x)=36*x^2}}}.



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



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



{{{(6x+highlight(-5))(6x+highlight(5))}}} Multiply the <font color="red">L</font>ast terms:{{{(-5)*(5)=-25}}}.



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So we have the terms: {{{36*x^2}}}, {{{30*x}}}, {{{-30*x}}}, {{{-25}}} 



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



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



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



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



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