Question 604427


{{{(4b-9)(7b-6)}}} Start with the given expression.



Now let's FOIL the expression.



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



{{{(highlight(4b)-9)(highlight(7b)-6)}}} Multiply the <font color="red">F</font>irst terms:{{{(4*b)*(7*b)=28*b^2}}}.



{{{(highlight(4b)-9)(7b+highlight(-6))}}} Multiply the <font color="red">O</font>uter terms:{{{(4*b)*(-6)=-24*b}}}.



{{{(4b+highlight(-9))(highlight(7b)-6)}}} Multiply the <font color="red">I</font>nner terms:{{{(-9)*(7*b)=-63*b}}}.



{{{(4b+highlight(-9))(7b+highlight(-6))}}} Multiply the <font color="red">L</font>ast terms:{{{(-9)*(-6)=54}}}.



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So we have the terms: {{{28*b^2}}}, {{{-24*b}}}, {{{-63*b}}}, {{{54}}} 



{{{28*b^2-24*b-63*b+54}}} Now add every term listed above to make a single expression.



{{{28b^2-87b+54}}} Now combine like terms.



So {{{(4b-9)(7b-6)}}} FOILs to {{{28b^2-87b+54}}}.



In other words, {{{(4b-9)(7b-6)=28b^2-87b+54}}}.



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