Question 146512


{{{(3x-5)(7x-5)}}} Start with the given expression.



Now let's FOIL the expression.



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



{{{(highlight(3x)-5)(highlight(7x)-5)}}} Multiply the <font color="red">F</font>irst terms:{{{(3*x)*(7*x)=21*x^2}}}.



{{{(highlight(3x)-5)(7x+highlight(-5))}}} Multiply the <font color="red">O</font>uter terms:{{{(3*x)*(-5)=-15*x}}}.



{{{(3x+highlight(-5))(highlight(7x)-5)}}} Multiply the <font color="red">I</font>nner terms:{{{(-5)*(7*x)=-35*x}}}.



{{{(3x+highlight(-5))(7x+highlight(-5))}}} Multiply the <font color="red">L</font>ast terms:{{{(-5)*(-5)=25}}}.



{{{21*x^2-15*x-35*x+25}}} Now collect every term to make a single expression.



{{{21*x^2-50*x+25}}} Now combine like terms.



So {{{(3x-5)(7x-5)}}} FOILS to {{{21*x^2-50*x+25}}}.



In other words, {{{(3x-5)(7x-5)=21*x^2-50*x+25}}}.