Question 151504
This is not an equation. So you cannot solve it, but you can simplify.





{{{(x-3)(8x+12)}}} Start with the given expression.



Now let's FOIL the expression.



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



{{{(highlight(x)-3)(highlight(8x)+12)}}} Multiply the <font color="red">F</font>irst terms:{{{(x)*(8*x)=8*x^2}}}.



{{{(highlight(x)-3)(8x+highlight(12))}}} Multiply the <font color="red">O</font>uter terms:{{{(x)*(12)=12*x}}}.



{{{(x+highlight(-3))(highlight(8x)+12)}}} Multiply the <font color="red">I</font>nner terms:{{{(-3)*(8*x)=-24*x}}}.



{{{(x+highlight(-3))(8x+highlight(12))}}} Multiply the <font color="red">L</font>ast terms:{{{(-3)*(12)=-36}}}.



{{{8*x^2+12*x-24*x-36}}} Now collect every term to make a single expression.



{{{8*x^2-12*x-36}}} Now combine like terms.



So {{{(x-3)(8x+12)}}} FOILS to {{{8*x^2-12*x-36}}}.



In other words, {{{(x-3)(8x+12)=8*x^2-12*x-36}}}.