Question 147451


{{{(5x-3)(3x-8)}}} Start with the given expression.



Now let's FOIL the expression.



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



{{{(highlight(5x)-3)(highlight(3x)-8)}}} Multiply the <font color="red">F</font>irst terms:{{{(5*x)*(3*x)=15*x^2}}}.



{{{(highlight(5x)-3)(3x+highlight(-8))}}} Multiply the <font color="red">O</font>uter terms:{{{(5*x)*(-8)=-40*x}}}.



{{{(5x+highlight(-3))(highlight(3x)-8)}}} Multiply the <font color="red">I</font>nner terms:{{{(-3)*(3*x)=-9*x}}}.



{{{(5x+highlight(-3))(3x+highlight(-8))}}} Multiply the <font color="red">L</font>ast terms:{{{(-3)*(-8)=24}}}.



{{{15*x^2-40*x-9*x+24}}} Now collect every term to make a single expression.



{{{15*x^2-49*x+24}}} Now combine like terms.



So {{{(5x-3)(3x-8)}}} FOILS to {{{15*x^2-49*x+24}}}.



In other words, {{{(5x-3)(3x-8)=15*x^2-49*x+24}}}.