Question 176958


{{{(2x+6)(x-10)}}} Start with the given expression.



Now let's FOIL the expression.



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



{{{(highlight(2x)+6)(highlight(x)-10)}}} Multiply the <font color="red">F</font>irst terms:{{{(2*x)*(x)=2*x^2}}}.



{{{(highlight(2x)+6)(x+highlight(-10))}}} Multiply the <font color="red">O</font>uter terms:{{{(2*x)*(-10)=-20*x}}}.



{{{(2x+highlight(6))(highlight(x)-10)}}} Multiply the <font color="red">I</font>nner terms:{{{(6)*(x)=6*x}}}.



{{{(2x+highlight(6))(x+highlight(-10))}}} Multiply the <font color="red">L</font>ast terms:{{{(6)*(-10)=-60}}}.



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{{{2*x^2-20*x+6*x-60}}} Now collect every term to make a single expression.



{{{2*x^2-14*x-60}}} Now combine like terms.



So {{{(2x+6)(x-10)}}} FOILs to {{{2*x^2-14*x-60}}}.



In other words, {{{(2x+6)(x-10)=2*x^2-14*x-60}}}.