Question 817570


{{{(5m-3w)(5m+3w)}}} Start with the given expression.



Now let's FOIL the expression.



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



{{{(highlight(5m)-3w)(highlight(5m)+3w)}}} Multiply the <font color="red">F</font>irst terms:{{{(5*m)*(5*m)=25*m^2}}}.



{{{(highlight(5m)-3w)(5m+highlight(3w))}}} Multiply the <font color="red">O</font>uter terms:{{{(5*m)*(3*w)=15*w*m}}}.



{{{(5m+highlight(-3w))(highlight(5m)+3w)}}} Multiply the <font color="red">I</font>nner terms:{{{(-3*w)*(5*m)=-15*w*m}}}.



{{{(5m+highlight(-3w))(5m+highlight(3w))}}} Multiply the <font color="red">L</font>ast terms:{{{(-3*w)*(3*w)=-9*w^2}}}.



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So we have the terms: {{{25*m^2}}}, {{{15*w*m}}}, {{{-15*w*m}}}, {{{-9*w^2}}} 



{{{25*m^2+15*w*m-15*w*m-9*w^2}}} Now add every term listed above to make a single expression.



{{{25m^2-9w^2}}} Now combine like terms.



So {{{(5m-3w)(5m+3w)}}} FOILs to {{{25m^2-9w^2}}}.



In other words, {{{(5m-3w)(5m+3w)=25m^2-9w^2}}}.


Special Note: This is a difference of squares