Question 150959


{{{(6x-1)(3x-4)}}} Start with the given expression.



Now let's FOIL the expression.



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



{{{(highlight(6x)-1)(highlight(3x)-4)}}} Multiply the <font color="red">F</font>irst terms:{{{(6*x)*(3*x)=18*x^2}}}.



{{{(highlight(6x)-1)(3x+highlight(-4))}}} Multiply the <font color="red">O</font>uter terms:{{{(6*x)*(-4)=-24*x}}}.



{{{(6x+highlight(-1))(highlight(3x)-4)}}} Multiply the <font color="red">I</font>nner terms:{{{(-1)*(3*x)=-3*x}}}.



{{{(6x+highlight(-1))(3x+highlight(-4))}}} Multiply the <font color="red">L</font>ast terms:{{{(-1)*(-4)=4}}}.



{{{18*x^2-24*x-3*x+4}}} Now collect every term to make a single expression.



{{{18*x^2-27*x+4}}} Now combine like terms.



So {{{(6x-1)(3x-4)}}} FOILS to {{{18*x^2-27*x+4}}}.



In other words, {{{(6x-1)(3x-4)=18*x^2-27*x+4}}}.