Question 176956


{{{(b+2)(b+6)}}} Start with the given expression.



Now let's FOIL the expression.



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



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



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



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



{{{(b+highlight(2))(b+highlight(6))}}} Multiply the <font color="red">L</font>ast terms:{{{(2)*(6)=12}}}.



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{{{b^2+6*b+2*b+12}}} Now collect every term to make a single expression.



{{{b^2+8*b+12}}} Now combine like terms.



So {{{(b+2)(b+6)}}} FOILs to {{{b^2+8*b+12}}}.



In other words, {{{(b+2)(b+6)=b^2+8*b+12}}}.