Question 167893


{{{(3x-8)(x-7)}}} Start with the given expression.



Now let's FOIL the expression.



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



{{{(highlight(3x)-8)(highlight(x)-7)}}} Multiply the <font color="red">F</font>irst terms:{{{(3x)*(x)=3x^2}}}.



{{{(highlight(3x)-8)(x+highlight(-7))}}} Multiply the <font color="red">O</font>uter terms:{{{(3x)*(-7)=-21x}}}.



{{{(3x+highlight(-8))(highlight(x)-7)}}} Multiply the <font color="red">I</font>nner terms:{{{(-8)*(x)=-8x}}}.



{{{(3x+highlight(-8))(x+highlight(-7))}}} Multiply the <font color="red">L</font>ast terms:{{{(-8)*(-7)=56}}}.



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{{{3*x^2-21x-8x+56}}} Now collect every term to make a single expression.



{{{3x^2-29x+56}}} Now combine like terms.



So {{{(3x-8)(x-7)}}} FOILs to {{{3x^2-29x+56}}}.



In other words, {{{(3x-8)(x-7)=3x^2-29x+56}}}.